Atkin-Lehner |
2- 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
13916i |
Isogeny class |
Conductor |
13916 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
6912 |
Modular degree for the optimal curve |
Δ |
-14968717568 = -1 · 28 · 77 · 71 |
Discriminant |
Eigenvalues |
2- -1 -2 7- -5 3 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-604,8408] |
[a1,a2,a3,a4,a6] |
Generators |
[26:-98:1] [-14:118:1] |
Generators of the group modulo torsion |
j |
-810448/497 |
j-invariant |
L |
5.0999721590025 |
L(r)(E,1)/r! |
Ω |
1.1535822112676 |
Real period |
R |
0.36841559774908 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55664m1 125244r1 1988a1 |
Quadratic twists by: -4 -3 -7 |