Cremona's table of elliptic curves

130 = 2 · 5 · 13

Field	Data	Notes
Atkin-Lehner	2- 5- 13-	Signs for the Atkin-Lehner involutions
Class	130b	Isogeny class
Conductor	130	Conductor
∏ cp	2	Product of Tamagawa factors cp
Δ	260 = 22 · 5 · 13	Discriminant
Eigenvalues	2-  0 5-  0  0 13-  2 -8	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-1387,-19529]	[a1,a2,a3,a4,a6]
j	294889639316481/260	j-invariant
L	1.564713754401	L(r)(E,1)/r!
Ω	0.78235687720052	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	1040f3 4160a3 1170c3 650a3	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 130b3

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	-	0	0	-	2	-8	-4	-2	-4	6	10	0	8	6	8	-2	4	-12	10	-8	12	10	-14

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Quadratic twists for elliptic curve 130b3

-4	8	-3	5	-7	-11	13	17	-19	-23	29	-31
1040f3	4160a3	1170c3	650a3	6370l3	15730k3	1690a3	37570j4	46930r4	68770p4	109330l4	124930j4

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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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