Atkin-Lehner |
2+ 3+ 13+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
12792b |
Isogeny class |
Conductor |
12792 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
30624 |
Modular degree for the optimal curve |
Δ |
-2539502864496 = -1 · 24 · 311 · 13 · 413 |
Discriminant |
Eigenvalues |
2+ 3+ -3 5 4 13+ 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2452,-88979] |
[a1,a2,a3,a4,a6] |
j |
-101939437643008/158718929031 |
j-invariant |
L |
1.9296679760053 |
L(r)(E,1)/r! |
Ω |
0.32161132933421 |
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 |
25584i1 102336bi1 38376r1 |
Quadratic twists by: -4 8 -3 |