Cremona's table of elliptic curves

1218 = 2 · 3 · 7 · 29

Field	Data	Notes
Atkin-Lehner	2- 3- 7+ 29-	Signs for the Atkin-Lehner involutions
Class	1218h	Isogeny class
Conductor	1218	Conductor
∏ cp	140	Product of Tamagawa factors cp
Δ	3033870191363023488 = 27 · 310 · 712 · 29	Discriminant
Eigenvalues	2- 3-  2 7+  4 -6  6 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,0,-1169015187,-15384418786143]	[a1,a2,a3,a4,a6]
j	176678690562294721133446471910833/3033870191363023488	j-invariant
L	3.6147024382374	L(r)(E,1)/r!
Ω	0.025819303130267	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	4	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	9744l4 38976d4 3654g4 30450j4	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1218h3

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

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Quadratic twists for elliptic curve 1218h3

-4	8	-3	5	-7	29
9744l4	38976d4	3654g4	30450j4	8526r4	35322d4

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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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