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	4	Product of Tamagawa factors cp
Δ	-87362 = -1 · 2 · 112 · 192	Discriminant
Eigenvalues	2-  0  2  2 11- -2  6 19-	Hecke eigenvalues for primes up to 20
Equation	[1,-1,1,6,11]	[a1,a2,a3,a4,a6]
j	27818127/87362	j-invariant
L	2.4024004805087	L(r)(E,1)/r!
Ω	2.4024004805087	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	3344d2 13376a2 3762f2 10450f2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 418a2

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 418a2

-4	8	-3	5	-7	-11	13	17	-19
3344d2	13376a2	3762f2	10450f2	20482l2	4598d2	70642b2	120802g2	7942h2

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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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