Cremona's table of elliptic curves

1302 = 2 · 3 · 7 · 31

Field	Data	Notes
Atkin-Lehner	2+ 3- 7+ 31+	Signs for the Atkin-Lehner involutions
Class	1302d	Isogeny class
Conductor	1302	Conductor
∏ cp	8	Product of Tamagawa factors cp
Δ	2083934619648 = 211 · 32 · 76 · 312	Discriminant
Eigenvalues	2+ 3-  0 7+  2  2  2 -2	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-98526,11894992]	[a1,a2,a3,a4,a6]
j	105771808529903265625/2083934619648	j-invariant
L	1.5218728423685	L(r)(E,1)/r!
Ω	0.76093642118425	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	10416bd2 41664b2 3906o2 32550by2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1302d2

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
+	-	0	+	2	2	2	-2	4	4	+	0	10	2	8	0	-10	10	12	0	-10	-8	4	18	6

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Quadratic twists for elliptic curve 1302d2

-4	8	-3	5	-7	-31
10416bd2	41664b2	3906o2	32550by2	9114e2	40362b2

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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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