Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
15246bi |
Isogeny class |
Conductor |
15246 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-91845615730176 = -1 · 29 · 36 · 75 · 114 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 5 -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9461,-579059] |
[a1,a2,a3,a4,a6] |
j |
-8773917273/8605184 |
j-invariant |
L |
2.0950250787814 |
L(r)(E,1)/r! |
Ω |
0.23278056430904 |
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 |
121968fz1 1694b1 106722ha1 15246u1 |
Quadratic twists by: -4 -3 -7 -11 |