Atkin-Lehner |
2- 3- 7- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
42966bg |
Isogeny class |
Conductor |
42966 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
deg |
19261440 |
Modular degree for the optimal curve |
Δ |
7.1523531693902E+25 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 -6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-555467054,-5022303740355] |
[a1,a2,a3,a4,a6] |
Generators |
[-890380:-6745509:64] |
Generators of the group modulo torsion |
j |
25999865315910393967006753177/98111840458027668636672 |
j-invariant |
L |
10.959409946357 |
L(r)(E,1)/r! |
Ω |
0.031105239109587 |
Real period |
R |
5.8722208112793 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14322a1 |
Quadratic twists by: -3 |