Cremona's table of elliptic curves

418 = 2 · 11 · 19

Field	Data	Notes
Atkin-Lehner	2- 11- 19-	Signs for the Atkin-Lehner involutions
Class	418a	Isogeny class
Conductor	418	Conductor
∏ cp	2	Product of Tamagawa factors cp
deg	20	Modular degree for the optimal curve
Δ	836 = 22 · 11 · 19	Discriminant
Eigenvalues	2-  0  2  2 11- -2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,-4,3]	[a1,a2,a3,a4,a6]
j	5545233/836	j-invariant
L	2.4024004805087	L(r)(E,1)/r!
Ω	4.8048009610174	Real period
R	1	Regulator
r	0	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	3344d1 13376a1 3762f1 10450f1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 418a1

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
-	0	2	2	-	-2	6	-	-8	-6	6	8	6	-8	-8	12	0	-8	-8	-6	-14	-12	-12	2	-2

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Quadratic twists for elliptic curve 418a1

-4	8	-3	5	-7	-11	13	17	-19
3344d1	13376a1	3762f1	10450f1	20482l1	4598d1	70642b1	120802g1	7942h1

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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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