Atkin-Lehner |
2+ 3- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912z |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
13426560 |
Modular degree for the optimal curve |
Δ |
1.709448166367E+25 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 1 -4 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-67596153,-78679563453] |
[a1,a2,a3,a4,a6] |
j |
472355845220224000/236393522034597 |
j-invariant |
L |
1.4976028458181 |
L(r)(E,1)/r! |
Ω |
0.055466771152249 |
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 |
36456a1 72912a1 |
Quadratic twists by: -4 -7 |