Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
103968x |
Isogeny class |
Conductor |
103968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
64183194496512576 = 26 · 310 · 198 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-371469,86286220] |
[a1,a2,a3,a4,a6] |
Generators |
[5684191620:206524139108:3723875] |
Generators of the group modulo torsion |
j |
2582630848/29241 |
j-invariant |
L |
10.137533656444 |
L(r)(E,1)/r! |
Ω |
0.35050036828751 |
Real period |
R |
14.461516386276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000017433 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
103968ca1 34656bf1 5472v1 |
Quadratic twists by: -4 -3 -19 |