Atkin-Lehner |
2+ 7+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
24752d |
Isogeny class |
Conductor |
24752 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
511616 |
Modular degree for the optimal curve |
Δ |
-38236998904832 = -1 · 210 · 7 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ -3 13+ 17- 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-20686128,-36220098076] |
[a1,a2,a3,a4,a6] |
j |
-956007720229412472866500/37340819243 |
j-invariant |
L |
0.99107788804356 |
L(r)(E,1)/r! |
Ω |
0.0353956388587 |
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 |
12376d1 99008cj1 |
Quadratic twists by: -4 8 |