Atkin-Lehner |
2+ 29- 59- |
Signs for the Atkin-Lehner involutions |
Class |
54752b |
Isogeny class |
Conductor |
54752 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
27776 |
Modular degree for the optimal curve |
Δ |
187361344 = 26 · 292 · 592 |
Discriminant |
Eigenvalues |
2+ 0 -2 -4 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1141,14820] |
[a1,a2,a3,a4,a6] |
Generators |
[11:60:1] |
Generators of the group modulo torsion |
j |
2566851069888/2927521 |
j-invariant |
L |
2.2893589879816 |
L(r)(E,1)/r! |
Ω |
1.7890201159684 |
Real period |
R |
2.5593440425876 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000196 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
54752d1 109504a2 |
Quadratic twists by: -4 8 |