Atkin-Lehner |
2- 3+ 7- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
100254bz |
Isogeny class |
Conductor |
100254 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
188697600 |
Modular degree for the optimal curve |
Δ |
-1.8081663611944E+29 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- 11- -6 -1 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-6400591219,-198157830823261] |
[a1,a2,a3,a4,a6] |
Generators |
[3391760809475830526967590:2091599253040418358763716713:8517285309485861000] |
Generators of the group modulo torsion |
j |
-591817640565082044809864441645953/3690135431008947089721847746 |
j-invariant |
L |
10.86000894734 |
L(r)(E,1)/r! |
Ω |
0.0084363132534103 |
Real period |
R |
35.75814531092 |
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 |
100254ch1 |
Quadratic twists by: -7 |