Cremona's table of elliptic curves

1914 = 2 · 3 · 11 · 29

Field	Data	Notes
Atkin-Lehner	2- 3+ 11+ 29+	Signs for the Atkin-Lehner involutions
Class	1914g	Isogeny class
Conductor	1914	Conductor
∏ cp	25	Product of Tamagawa factors cp
deg	54000	Modular degree for the optimal curve
Δ	-6.1950643243001E+19	Discriminant
Eigenvalues	2- 3+  1  1 11+  5  2 -3	Hecke eigenvalues for primes up to 20
Equation	[1,1,1,915815,-171694681]	[a1,a2,a3,a4,a6]
j	84946783689490628882159/61950643243000528896	j-invariant
L	2.763283919398	L(r)(E,1)/r!
Ω	0.11053135677592	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	15312t1 61248bc1 5742l1 47850ba1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914g1

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	1	+	5	2	-3	4	+	0	11	-4	4	4	1	-6	10	9	-13	10	-6	7	17	10

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Quadratic twists for elliptic curve 1914g1

-4	8	-3	5	-7	-11	29
15312t1	61248bc1	5742l1	47850ba1	93786cq1	21054g1	55506n1

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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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