Cremona's table of elliptic curves

5390 = 2 · 5 · 7² · 11

Field	Data	Notes
Atkin-Lehner	2+ 5- 7+ 11-	Signs for the Atkin-Lehner involutions
Class	5390m	Isogeny class
Conductor	5390	Conductor
∏ cp	108	Product of Tamagawa factors cp
deg	30240	Modular degree for the optimal curve
Δ	-8711204784128000 = -1 · 214 · 53 · 74 · 116	Discriminant
Eigenvalues	2+  1 5- 7+ 11-  2  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-14873,4543228]	[a1,a2,a3,a4,a6]
Generators	[-101:2290:1]	Generators of the group modulo torsion
j	-151525354918441/3628156928000	j-invariant
L	3.5735358526206	L(r)(E,1)/r!
Ω	0.34570258779075	Real period
R	0.86141864395099	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	43120cb1 48510cl1 26950bx1 5390h1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390m1

a2	a3	a5	a7	a11	a13	a17	a19	a23	a29	a31	a37	a41	a43	a47	a53	a59	a61	a67	a71	a73	a79	a83	a89	a97
+	1	-	+	-	2	0	-4	-3	3	2	-10	-9	-1	0	6	-6	-1	5	-12	-16	2	9	9	8

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Quadratic twists for elliptic curve 5390m1

-4	-3	5	-7	-11
43120cb1	48510cl1	26950bx1	5390h1	59290dp1

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Data from Elliptic Curve Data by J. E. Cremona.
Design inspired by The Modular Forms Explorer by William Stein.

Part of Computational Number Theory
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