Atkin-Lehner |
2- 3- 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
95400x |
Isogeny class |
Conductor |
95400 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
312238080 |
Modular degree for the optimal curve |
Δ |
9.4724218758823E+29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 0 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-194198085075,32939354899574750] |
[a1,a2,a3,a4,a6] |
Generators |
[14390513459794706710:155455653448670625000:55861250003083] |
Generators of the group modulo torsion |
j |
69440210808984840670969773604/81210749964697265625 |
j-invariant |
L |
4.5815615221374 |
L(r)(E,1)/r! |
Ω |
0.023540882771228 |
Real period |
R |
24.327685434885 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999988637 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
31800e1 19080c1 |
Quadratic twists by: -3 5 |