Atkin-Lehner |
2- 7+ 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
15022h |
Isogeny class |
Conductor |
15022 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
882095685632 = 224 · 72 · 29 · 37 |
Discriminant |
Eigenvalues |
2- 0 -2 7+ 0 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2461,13477] |
[a1,a2,a3,a4,a6] |
j |
1647756757668897/882095685632 |
j-invariant |
L |
2.3287419636283 |
L(r)(E,1)/r! |
Ω |
0.77624732120944 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
120176z1 105154p1 |
Quadratic twists by: -4 -7 |