Atkin-Lehner |
2- 19+ 103- |
Signs for the Atkin-Lehner involutions |
Class |
31312o |
Isogeny class |
Conductor |
31312 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
8015872 = 212 · 19 · 103 |
Discriminant |
Eigenvalues |
2- 1 0 5 0 -4 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-128,500] |
[a1,a2,a3,a4,a6] |
Generators |
[2:16:1] |
Generators of the group modulo torsion |
j |
57066625/1957 |
j-invariant |
L |
7.5053437763377 |
L(r)(E,1)/r! |
Ω |
2.3198599887807 |
Real period |
R |
0.80881430481097 |
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 |
1957b1 125248bo1 |
Quadratic twists by: -4 8 |