Atkin-Lehner |
2- 3+ 5+ 13- 59- |
Signs for the Atkin-Lehner involutions |
Class |
115050bq |
Isogeny class |
Conductor |
115050 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
56064 |
Modular degree for the optimal curve |
Δ |
359531250 = 2 · 3 · 57 · 13 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -3 -3 13- -2 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-188,-469] |
[a1,a2,a3,a4,a6] |
j |
47045881/23010 |
j-invariant |
L |
2.7095352909628 |
L(r)(E,1)/r! |
Ω |
1.3547681241277 |
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 |
23010i1 |
Quadratic twists by: 5 |