Atkin-Lehner |
2- 3- 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
72216o |
Isogeny class |
Conductor |
72216 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1053696 |
Modular degree for the optimal curve |
Δ |
-1063097323785216 = -1 · 210 · 36 · 176 · 59 |
Discriminant |
Eigenvalues |
2- 3- 1 3 -2 0 17+ -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3270627,2276641998] |
[a1,a2,a3,a4,a6] |
j |
-5183096326183997316/1424116571 |
j-invariant |
L |
1.5734136407037 |
L(r)(E,1)/r! |
Ω |
0.39335341277305 |
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 |
8024g1 |
Quadratic twists by: -3 |