Atkin-Lehner |
2+ 5- 29- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
47560a |
Isogeny class |
Conductor |
47560 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
66048 |
Modular degree for the optimal curve |
Δ |
137924000000 = 28 · 56 · 292 · 41 |
Discriminant |
Eigenvalues |
2+ -2 5- -2 4 -4 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11660,-488192] |
[a1,a2,a3,a4,a6] |
Generators |
[336:5800:1] |
Generators of the group modulo torsion |
j |
684883406370256/538765625 |
j-invariant |
L |
4.0397602106365 |
L(r)(E,1)/r! |
Ω |
0.45945430146748 |
Real period |
R |
1.4654196647872 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999691 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
95120e1 |
Quadratic twists by: -4 |