Atkin-Lehner |
2+ 3- 7+ 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502m |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
237600 |
Modular degree for the optimal curve |
Δ |
-946188473997312 = -1 · 211 · 36 · 73 · 133 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 2 7+ -3 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,23184,580864] |
[a1,a2,a3,a4,a6] |
j |
1890387126561023/1297926576128 |
j-invariant |
L |
1.8782582451692 |
L(r)(E,1)/r! |
Ω |
0.31304304080893 |
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 |
5278d1 |
Quadratic twists by: -3 |