Atkin-Lehner |
2- 3+ 7+ 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
100464bc |
Isogeny class |
Conductor |
100464 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
2745600 |
Modular degree for the optimal curve |
Δ |
4.5465658415991E+19 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 5 13- -5 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-893893,24212461] |
[a1,a2,a3,a4,a6] |
Generators |
[9932494:11514555:10648] |
Generators of the group modulo torsion |
j |
19285053992837632000/11100014261716653 |
j-invariant |
L |
5.7950464090591 |
L(r)(E,1)/r! |
Ω |
0.17227092345907 |
Real period |
R |
5.6065239954104 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000021657 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6279k1 |
Quadratic twists by: -4 |