Atkin-Lehner |
2- 3+ 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254bm |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
13083840 |
Modular degree for the optimal curve |
Δ |
-2.5602102768346E+20 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 11+ 6 -1 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-78363888,-267040410603] |
[a1,a2,a3,a4,a6] |
j |
-188404485446119140625/906348533508 |
j-invariant |
L |
2.537116723282 |
L(r)(E,1)/r! |
Ω |
0.02537116675782 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
100254cc1 |
Quadratic twists by: -7 |