Atkin-Lehner |
2+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
47432c |
Isogeny class |
Conductor |
47432 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
114048 |
Modular degree for the optimal curve |
Δ |
236624766687232 = 211 · 72 · 119 |
Discriminant |
Eigenvalues |
2+ -1 0 7- 11+ 3 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15528,88684] |
[a1,a2,a3,a4,a6] |
j |
1750 |
j-invariant |
L |
0.95433665142924 |
L(r)(E,1)/r! |
Ω |
0.47716832576941 |
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 |
94864f1 47432a1 47432q1 |
Quadratic twists by: -4 -7 -11 |