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	1914d	Isogeny class
Conductor	1914	Conductor
∏ cp	12	Product of Tamagawa factors cp
Δ	388308257175168 = 27 · 310 · 116 · 29	Discriminant
Eigenvalues	2+ 3+  0  0 11-  0 -2 -4	Hecke eigenvalues for primes up to 20
Equation	[1,1,0,-26535,-1378251]	[a1,a2,a3,a4,a6]
Generators	[-95:592:1]	Generators of the group modulo torsion
j	2066362734323877625/388308257175168	j-invariant
L	1.9410781091714	L(r)(E,1)/r!
Ω	0.37892649594607	Real period
R	1.7075238689103	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	2	Number of elements in the torsion subgroup
Twists	15312s2 61248o2 5742t2 47850cq2	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1914d2

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

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Quadratic twists for elliptic curve 1914d2

-4	8	-3	5	-7	-11	29
15312s2	61248o2	5742t2	47850cq2	93786bo2	21054w2	55506be2

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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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