Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262x |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
576 |
Product of Tamagawa factors cp |
deg |
811008 |
Modular degree for the optimal curve |
Δ |
-1718181477973389312 = -1 · 212 · 36 · 132 · 237 |
Discriminant |
Eigenvalues |
2- 3- 0 -2 -6 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,38077,-62997567] |
[a1,a2,a3,a4,a6] |
Generators |
[412:4555:1] |
Generators of the group modulo torsion |
j |
41242421375/11606519808 |
j-invariant |
L |
9.6912485630515 |
L(r)(E,1)/r! |
Ω |
0.12473270542481 |
Real period |
R |
0.53955646206985 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786t1 1794i1 |
Quadratic twists by: -3 -23 |