Cremona's table of elliptic curves

12390 = 2 · 3 · 5 · 7 · 59

Field	Data	Notes
Atkin-Lehner	2- 3+ 5+ 7- 59+	Signs for the Atkin-Lehner involutions
Class	12390n	Isogeny class
Conductor	12390	Conductor
∏ cp	16	Product of Tamagawa factors cp
Δ	-15777172995642450 = -1 · 2 · 312 · 52 · 72 · 594	Discriminant
Eigenvalues	2- 3+ 5+ 7- -4  2 -6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,-39801,-6788727]	[a1,a2,a3,a4,a6]
Generators	[55842:87163:216]	Generators of the group modulo torsion
j	-6972786145964248849/15777172995642450	j-invariant
L	5.4381172732745	L(r)(E,1)/r!
Ω	0.15804752961241	Real period
R	8.6020282737269	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	99120cn3 37170p3 61950t3 86730cv3	Quadratic twists by: -4 -3 5 -7

Hecke Eigenvalues for elliptic curve 12390n4

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
-	+	+	-	-4	2	-6	-4	0	10	4	10	10	-12	-8	10	+	-6	4	4	-6	-16	-12	10	-6

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Quadratic twists for elliptic curve 12390n4

-4	-3	5	-7
99120cn3	37170p3	61950t3	86730cv3

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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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