Cremona's table of elliptic curves

1230 = 2 · 3 · 5 · 41

Field	Data	Notes
Atkin-Lehner	2- 3- 5+ 41+	Signs for the Atkin-Lehner involutions
Class	1230h	Isogeny class
Conductor	1230	Conductor
∏ cp	144	Product of Tamagawa factors cp
Δ	-285872742720 = -1 · 26 · 312 · 5 · 412	Discriminant
Eigenvalues	2- 3- 5+ -4 -6 -4  0  2	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,1084,21840]	[a1,a2,a3,a4,a6]
Generators	[-14:70:1]	Generators of the group modulo torsion
j	140859621945791/285872742720	j-invariant
L	3.6717323198394	L(r)(E,1)/r!
Ω	0.6738754267263	Real period
R	1.3621702818564	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	6	Number of elements in the torsion subgroup
Twists	9840l2 39360p2 3690l2 6150c2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1230h2

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

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Quadratic twists for elliptic curve 1230h2

-4	8	-3	5	-7	41
9840l2	39360p2	3690l2	6150c2	60270bd2	50430s2

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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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