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	5390ba	Isogeny class
Conductor	5390	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	-189474890990 = -1 · 2 · 5 · 76 · 115	Discriminant
Eigenvalues	2-  1 5+ 7- 11-  6  7 -5	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-291061,60415711]	[a1,a2,a3,a4,a6]
j	-23178622194826561/1610510	j-invariant
L	3.8258054770281	L(r)(E,1)/r!
Ω	0.76516109540563	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	43120bh2 48510bm2 26950w2 110a2	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 5390ba2

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	+	-	-	6	7	-5	-6	5	3	3	-2	4	2	-1	10	-7	8	7	-14	10	6	15	12

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Quadratic twists for elliptic curve 5390ba2

-4	-3	5	-7	-11
43120bh2	48510bm2	26950w2	110a2	59290o2

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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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