Atkin-Lehner |
2- 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
32450m |
Isogeny class |
Conductor |
32450 |
Conductor |
∏ cp |
152 |
Product of Tamagawa factors cp |
deg |
3319680 |
Modular degree for the optimal curve |
Δ |
-3.5879585984E+23 |
Discriminant |
Eigenvalues |
2- 1 5+ -1 11+ 2 5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,13569162,21458416292] |
[a1,a2,a3,a4,a6] |
Generators |
[20332:2939834:1] |
Generators of the group modulo torsion |
j |
17683277672517811149671/22962935029760000000 |
j-invariant |
L |
9.8351714854363 |
L(r)(E,1)/r! |
Ω |
0.064331913729815 |
Real period |
R |
1.0058005709862 |
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 |
6490b1 |
Quadratic twists by: 5 |