Atkin-Lehner |
2+ 3+ 7- 73+ |
Signs for the Atkin-Lehner involutions |
Class |
24528b |
Isogeny class |
Conductor |
24528 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
650496 |
Modular degree for the optimal curve |
Δ |
-2581017600538561968 = -1 · 24 · 37 · 712 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2862063,-1864309446] |
[a1,a2,a3,a4,a6] |
j |
-162047169290647208704000/161313600033660123 |
j-invariant |
L |
0.34819704093844 |
L(r)(E,1)/r! |
Ω |
0.058032840156426 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12264a1 98112ca1 73584g1 |
Quadratic twists by: -4 8 -3 |