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	1230j	Isogeny class
Conductor	1230	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	120	Modular degree for the optimal curve
Δ	-4920 = -1 · 23 · 3 · 5 · 41	Discriminant
Eigenvalues	2- 3- 5+  3  2 -4  0  3	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-21,-39]	[a1,a2,a3,a4,a6]
j	-1027243729/4920	j-invariant
L	3.343519839802	L(r)(E,1)/r!
Ω	1.1145066132673	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	9840p1 39360u1 3690k1 6150h1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1230j1

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
-	-	+	3	2	-4	0	3	3	10	-5	3	-	-11	-8	9	-3	-8	-4	4	2	0	8	3	-6

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Quadratic twists for elliptic curve 1230j1

-4	8	-3	5	-7	41
9840p1	39360u1	3690k1	6150h1	60270w1	50430r1

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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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