Atkin-Lehner |
2+ 3- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
92736cj |
Isogeny class |
Conductor |
92736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-11594208380977152 = -1 · 232 · 36 · 7 · 232 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 4 0 -6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,19860,-5067344] |
[a1,a2,a3,a4,a6] |
j |
4533086375/60669952 |
j-invariant |
L |
3.1574381700769 |
L(r)(E,1)/r! |
Ω |
0.19733989080364 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92736dt1 2898t1 10304j1 |
Quadratic twists by: -4 8 -3 |