Atkin-Lehner |
2+ 3- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
31008h |
Isogeny class |
Conductor |
31008 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
3534912 = 26 · 32 · 17 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -4 2 0 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-18410,955344] |
[a1,a2,a3,a4,a6] |
Generators |
[46:456:1] |
Generators of the group modulo torsion |
j |
10782729081049024/55233 |
j-invariant |
L |
5.1510869990098 |
L(r)(E,1)/r! |
Ω |
1.6958377302078 |
Real period |
R |
1.51874407181 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31008n1 62016f1 93024bn1 |
Quadratic twists by: -4 8 -3 |