Cremona's table of elliptic curves

5952 = 2⁶ · 3 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3+ 31+	Signs for the Atkin-Lehner involutions
Class	5952c	Isogeny class
Conductor	5952	Conductor
∏ cp	4	Product of Tamagawa factors cp
Δ	-1634144550912 = -1 · 216 · 33 · 314	Discriminant
Eigenvalues	2+ 3+  2  0 -4  2  6 -4	Hecke eigenvalues for primes up to 20
Equation	[0,-1,0,1023,-60543]	[a1,a2,a3,a4,a6]
Generators	[128933:2504060:343]	Generators of the group modulo torsion
j	1804870652/24935067	j-invariant
L	3.7943025627775	L(r)(E,1)/r!
Ω	0.41288016058764	Real period
R	9.1898398735778	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	5952bf4 744b4 17856r4	Quadratic twists by: -4 8 -3

Hecke Eigenvalues for elliptic curve 5952c4

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	0	-4	2	6	-4	0	-10	+	2	10	-4	-4	-2	0	-6	12	-12	2	0	4	-10	2

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Quadratic twists for elliptic curve 5952c4

-4	8	-3
5952bf4	744b4	17856r4

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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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