Cremona's table of elliptic curves

12730 = 2 · 5 · 19 · 67

Field	Data	Notes
Atkin-Lehner	2+ 5- 19- 67-	Signs for the Atkin-Lehner involutions
Class	12730d	Isogeny class
Conductor	12730	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	630414805400 = 23 · 52 · 196 · 67	Discriminant
Eigenvalues	2+  0 5-  4  4 -2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,0,-2144,1608]	[a1,a2,a3,a4,a6]
j	1090214594975961/630414805400	j-invariant
L	2.3206297389206	L(r)(E,1)/r!
Ω	0.77354324630686	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	101840n2 114570bq2 63650f2	Quadratic twists by: -4 -3 5

Hecke Eigenvalues for elliptic curve 12730d2

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	-	4	4	-2	6	-	2	0	0	-6	4	6	6	-6	-4	6	-	2	14	8	-16	-6	-14

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Quadratic twists for elliptic curve 12730d2

-4	-3	5
101840n2	114570bq2	63650f2

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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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