Atkin-Lehner |
2+ 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
47502q |
Isogeny class |
Conductor |
47502 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
295680 |
Modular degree for the optimal curve |
Δ |
-6896306565937152 = -1 · 211 · 312 · 75 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -2 13+ 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-5796,-3997616] |
[a1,a2,a3,a4,a6] |
j |
-29540882258497/9459954137088 |
j-invariant |
L |
1.8824683647345 |
L(r)(E,1)/r! |
Ω |
0.18824683643834 |
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 |
15834o1 |
Quadratic twists by: -3 |