Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
7942i |
Isogeny class |
Conductor |
7942 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
150480 |
Modular degree for the optimal curve |
Δ |
-138120660655740928 = -1 · 211 · 11 · 1910 |
Discriminant |
Eigenvalues |
2+ 0 -4 -4 11- -7 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,105886,-12020076] |
[a1,a2,a3,a4,a6] |
Generators |
[910:9299:8] |
Generators of the group modulo torsion |
j |
21414159/22528 |
j-invariant |
L |
1.2994102784405 |
L(r)(E,1)/r! |
Ω |
0.17745687796213 |
Real period |
R |
7.3224001986428 |
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 |
63536s1 71478cc1 87362bj1 7942q1 |
Quadratic twists by: -4 -3 -11 -19 |