Cremona's table of elliptic curves

2914 = 2 · 31 · 47

Field	Data	Notes
Atkin-Lehner	2+ 31- 47-	Signs for the Atkin-Lehner involutions
Class	2914b	Isogeny class
Conductor	2914	Conductor
∏ cp	3	Product of Tamagawa factors cp
deg	480	Modular degree for the optimal curve
Δ	6437026 = 2 · 31 · 473	Discriminant
Eigenvalues	2+  1  3 -1  0 -4  0 -4	Hecke eigenvalues for primes up to 20
Equation	[1,0,1,-47,-8]	[a1,a2,a3,a4,a6]
Generators	[-140:627:64]	Generators of the group modulo torsion
j	11134383337/6437026	j-invariant
L	3.2084505680639	L(r)(E,1)/r!
Ω	1.9997202804083	Real period
R	4.8133490461108	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	3	Number of elements in the torsion subgroup
Twists	23312f1 93248r1 26226x1 72850q1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 2914b1

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	3	-1	0	-4	0	-4	-3	0	-	-7	0	8	-	6	-12	-1	-13	0	-1	-10	-12	0	-10

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Quadratic twists for elliptic curve 2914b1

-4	8	-3	5	-31
23312f1	93248r1	26226x1	72850q1	90334i1

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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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