Atkin-Lehner |
2- 3- 5+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
114660q |
Isogeny class |
Conductor |
114660 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
1411200 |
Modular degree for the optimal curve |
Δ |
-663791181785550000 = -1 · 24 · 311 · 55 · 78 · 13 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 1 13- -5 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-238728,-59600023] |
[a1,a2,a3,a4,a6] |
j |
-22377005056/9871875 |
j-invariant |
L |
0.63437934755054 |
L(r)(E,1)/r! |
Ω |
0.10572995396901 |
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 |
38220i1 114660bq1 |
Quadratic twists by: -3 -7 |