Atkin-Lehner |
2- 3+ 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
72450cn |
Isogeny class |
Conductor |
72450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1347840 |
Modular degree for the optimal curve |
Δ |
-3915560929218750000 = -1 · 24 · 33 · 510 · 79 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 3 4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-347930,123794697] |
[a1,a2,a3,a4,a6] |
Generators |
[-325:14391:1] |
Generators of the group modulo torsion |
j |
-17665842966075/14850127376 |
j-invariant |
L |
10.438998509438 |
L(r)(E,1)/r! |
Ω |
0.22699774448332 |
Real period |
R |
5.7484043135204 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001015 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72450c2 72450r1 |
Quadratic twists by: -3 5 |