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	1230b	Isogeny class
Conductor	1230	Conductor
∏ cp	5	Product of Tamagawa factors cp
Δ	-68599001088000 = -1 · 215 · 35 · 53 · 413	Discriminant
Eigenvalues	2+ 3- 5+ -1  6 -4  0  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-1094,-398824]	[a1,a2,a3,a4,a6]
j	-144612187806169/68599001088000	j-invariant
L	1.3862582616675	L(r)(E,1)/r!
Ω	0.27725165233351	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	9840k2 39360k2 3690u2 6150t2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1230b2

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
+	-	+	-1	6	-4	0	5	-3	6	-1	-7	+	11	12	9	9	8	-4	12	2	-16	12	-15	2

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Quadratic twists for elliptic curve 1230b2

-4	8	-3	5	-7	41
9840k2	39360k2	3690u2	6150t2	60270g2	50430c2

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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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