Atkin-Lehner |
2- 3- 5+ 11- 29- |
Signs for the Atkin-Lehner involutions |
Class |
28710bi |
Isogeny class |
Conductor |
28710 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
1658880 |
Modular degree for the optimal curve |
Δ |
-47484007312500000 = -1 · 25 · 39 · 59 · 113 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11- -4 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-24757988,-47409398233] |
[a1,a2,a3,a4,a6] |
Generators |
[8031:517219:1] |
Generators of the group modulo torsion |
j |
-2302195558228013816407801/65135812500000 |
j-invariant |
L |
6.1371439722784 |
L(r)(E,1)/r! |
Ω |
0.033840807898663 |
Real period |
R |
6.0451117584193 |
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 |
9570m1 |
Quadratic twists by: -3 |