Atkin-Lehner |
3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
119025cf |
Isogeny class |
Conductor |
119025 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
4041276654375 = 312 · 54 · 233 |
Discriminant |
Eigenvalues |
1 3- 5- -1 5 -3 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5067,-98334] |
[a1,a2,a3,a4,a6] |
j |
2595575/729 |
j-invariant |
L |
2.3115728332778 |
L(r)(E,1)/r! |
Ω |
0.5778929226686 |
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 |
39675bq1 119025bg1 119025cd1 |
Quadratic twists by: -3 5 -23 |