Atkin-Lehner |
2- 7- 11- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
72226m |
Isogeny class |
Conductor |
72226 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
268800 |
Modular degree for the optimal curve |
Δ |
20937388284736 = 26 · 79 · 112 · 67 |
Discriminant |
Eigenvalues |
2- 1 3 7- 11- 3 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-19944,-1063168] |
[a1,a2,a3,a4,a6] |
j |
21740999671/518848 |
j-invariant |
L |
9.6558185076444 |
L(r)(E,1)/r! |
Ω |
0.40232577216323 |
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 |
72226n1 |
Quadratic twists by: -7 |