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	5390s	Isogeny class
Conductor	5390	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	6552	Modular degree for the optimal curve
Δ	-100218124160 = -1 · 27 · 5 · 76 · 113	Discriminant
Eigenvalues	2+ -1 5- 7- 11- -2 -3  7	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-4337,-112811]	[a1,a2,a3,a4,a6]
j	-76711450249/851840	j-invariant
L	0.88184666414215	L(r)(E,1)/r!
Ω	0.29394888804738	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	43120cm1 48510cw1 26950cr1 110c1	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390s1

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	-3	7	-6	-3	7	-7	-6	8	-6	-3	6	1	8	3	-2	-10	6	-9	4

---

Quadratic twists for elliptic curve 5390s1

-4	-3	5	-7	-11
43120cm1	48510cw1	26950cr1	110c1	59290ej1

---

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

Part of Computational Number Theory
Back to Tables and computations