Atkin-Lehner |
2+ 3+ 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
72912o |
Isogeny class |
Conductor |
72912 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
8386560 |
Modular degree for the optimal curve |
Δ |
-3.3638498150401E+24 |
Discriminant |
Eigenvalues |
2+ 3+ -1 7- -3 1 -1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-24464736,-99771505056] |
[a1,a2,a3,a4,a6] |
Generators |
[70978402612:7960645474068:4826809] |
Generators of the group modulo torsion |
j |
-6720895431401588642/13961060378754237 |
j-invariant |
L |
4.306847762328 |
L(r)(E,1)/r! |
Ω |
0.03184669031775 |
Real period |
R |
16.90461284735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36456y1 10416j1 |
Quadratic twists by: -4 -7 |