Atkin-Lehner |
2- 3- 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262y |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
deg |
405504 |
Modular degree for the optimal curve |
Δ |
-11931815819259648 = -1 · 28 · 34 · 132 · 237 |
Discriminant |
Eigenvalues |
2- 3- -2 4 -4 13- -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,17446,5181540] |
[a1,a2,a3,a4,a6] |
Generators |
[52:2470:1] |
Generators of the group modulo torsion |
j |
3966822287/80600832 |
j-invariant |
L |
10.404380055627 |
L(r)(E,1)/r! |
Ω |
0.30017568800781 |
Real period |
R |
2.1663105289847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
123786u1 1794j1 |
Quadratic twists by: -3 -23 |