Atkin-Lehner |
3+ 11- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
26499a |
Isogeny class |
Conductor |
26499 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1536000 |
Modular degree for the optimal curve |
Δ |
-1.325854018891E+22 |
Discriminant |
Eigenvalues |
0 3+ -1 -2 11- -4 -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-18421201,30937910673] |
[a1,a2,a3,a4,a6] |
j |
-390230714139735752704/7484100287210019 |
j-invariant |
L |
0.50398548291005 |
L(r)(E,1)/r! |
Ω |
0.12599637072754 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79497e1 2409b1 |
Quadratic twists by: -3 -11 |