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	1914f	Isogeny class
Conductor	1914	Conductor
∏ cp	1	Product of Tamagawa factors cp
deg	240	Modular degree for the optimal curve
Δ	-30624 = -1 · 25 · 3 · 11 · 29	Discriminant
Eigenvalues	2+ 3-  3 -3 11-  1 -6  5	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,3,-8]	[a1,a2,a3,a4,a6]
j	4657463/30624	j-invariant
L	1.8528327178723	L(r)(E,1)/r!
Ω	1.8528327178723	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	15312o1 61248c1 5742u1 47850cc1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914f1

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	-3	-	1	-6	5	4	-	0	7	0	12	4	11	10	-10	-15	9	10	-2	9	-1	-10

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Quadratic twists for elliptic curve 1914f1

-4	8	-3	5	-7	-11	29
15312o1	61248c1	5742u1	47850cc1	93786w1	21054bd1	55506z1

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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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