Atkin-Lehner |
2+ 3+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72864b |
Isogeny class |
Conductor |
72864 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
3505778496 = 26 · 39 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-729,-7020] |
[a1,a2,a3,a4,a6] |
j |
34012224/2783 |
j-invariant |
L |
1.8471395555437 |
L(r)(E,1)/r! |
Ω |
0.92356978759815 |
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 |
72864s1 72864t1 |
Quadratic twists by: -4 -3 |