Cremona's table of elliptic curves

Curve 2717c2

2717 = 11 · 13 · 19



Data for elliptic curve 2717c2

Field Data Notes
Atkin-Lehner 11+ 13- 19- Signs for the Atkin-Lehner involutions
Class 2717c Isogeny class
Conductor 2717 Conductor
∏ cp 9 Product of Tamagawa factors cp
Δ 20057135813 = 113 · 133 · 193 Discriminant
Eigenvalues  0 -2  0 -1 11+ 13-  0 19- Hecke eigenvalues for primes up to 20
Equation [0,1,1,-863,6705] [a1,a2,a3,a4,a6]
Generators [-5:104:1] Generators of the group modulo torsion
j 71163817984000/20057135813 j-invariant
L 1.7572720376652 L(r)(E,1)/r!
Ω 1.1327254412181 Real period
R 1.5513662655758 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 43472u2 24453k2 67925d2 29887e2 Quadratic twists by: -4 -3 5 -11


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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