Atkin-Lehner |
5+ 29- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
51475c |
Isogeny class |
Conductor |
51475 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1427626953125 = 510 · 29 · 712 |
Discriminant |
Eigenvalues |
-1 0 5+ 4 6 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2416630,-1445379128] |
[a1,a2,a3,a4,a6] |
j |
99892758265370362089/91368125 |
j-invariant |
L |
2.1795635356267 |
L(r)(E,1)/r! |
Ω |
0.1210868630144 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10295a2 |
Quadratic twists by: 5 |