Cremona's table of elliptic curves

5936 = 2⁴ · 7 · 53

Field	Data	Notes
Atkin-Lehner	2+ 7+ 53-	Signs for the Atkin-Lehner involutions
Class	5936b	Isogeny class
Conductor	5936	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-5033728 = -1 · 28 · 7 · 532	Discriminant
Eigenvalues	2+  2 -4 7+  4 -2  6 -6	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,20,96]	[a1,a2,a3,a4,a6]
j	3286064/19663	j-invariant
L	1.7561238697869	L(r)(E,1)/r!
Ω	1.7561238697869	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	2968b2 23744w2 53424c2 41552p2	Quadratic twists by: -4 8 -3 -7

Hecke Eigenvalues for elliptic curve 5936b2

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
+	2	-4	+	4	-2	6	-6	0	-2	2	-6	8	-4	0	-	0	-8	-8	12	8	8	14	6	14

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Quadratic twists for elliptic curve 5936b2

-4	8	-3	-7
2968b2	23744w2	53424c2	41552p2

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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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