Atkin-Lehner |
2- 3+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
21054ba |
Isogeny class |
Conductor |
21054 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-149193781176 = -1 · 23 · 3 · 118 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 1 -3 11- 4 -5 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-910,-21757] |
[a1,a2,a3,a4,a6] |
j |
-47045881/84216 |
j-invariant |
L |
2.4602925662596 |
L(r)(E,1)/r! |
Ω |
0.41004876104327 |
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 |
63162t1 1914a1 |
Quadratic twists by: -3 -11 |