Atkin-Lehner |
2+ 3- 5+ 7- 29- |
Signs for the Atkin-Lehner involutions |
Class |
48720s |
Isogeny class |
Conductor |
48720 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8864640 |
Modular degree for the optimal curve |
Δ |
-1.800594140625E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7- -1 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-288481096,1885938192980] |
[a1,a2,a3,a4,a6] |
j |
-1296420349508030865803093138/87919635772705078125 |
j-invariant |
L |
1.7322719811363 |
L(r)(E,1)/r! |
Ω |
0.096237332295595 |
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 |
24360c1 |
Quadratic twists by: -4 |