Cremona's table of elliptic curves

1911 = 3 · 7² · 13

Field	Data	Notes
Atkin-Lehner	3- 7- 13+	Signs for the Atkin-Lehner involutions
Class	1911g	Isogeny class
Conductor	1911	Conductor
∏ cp	16	Product of Tamagawa factors cp
deg	2304	Modular degree for the optimal curve
Δ	-42492348171 = -1 · 34 · 79 · 13	Discriminant
Eigenvalues	-2 3-  1 7- -2 13+  4 -3	Hecke eigenvalues for primes up to 20
Equation	[0,1,1,-1290,-20842]	[a1,a2,a3,a4,a6]
Generators	[72:514:1]	Generators of the group modulo torsion
j	-2019487744/361179	j-invariant
L	1.9593025064953	L(r)(E,1)/r!
Ω	0.39444497193984	Real period
R	0.31045244677281	Regulator
r	1	Rank of the group of rational points
S	1	(Analytic) order of Ш
t	1	Number of elements in the torsion subgroup
Twists	30576bp1 122304bu1 5733h1 47775w1	Quadratic twists by: -4 8 -3 5

Hecke Eigenvalues for elliptic curve 1911g1

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
-2	-	1	-	-2	+	4	-3	-9	-1	5	-8	-6	-9	3	3	0	-10	-2	12	-5	-13	11	-1	-1

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Quadratic twists for elliptic curve 1911g1

-4	8	-3	5	-7	13
30576bp1	122304bu1	5733h1	47775w1	273a1	24843t1

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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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