Atkin-Lehner |
2+ 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
84966ba |
Isogeny class |
Conductor |
84966 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
752640 |
Modular degree for the optimal curve |
Δ |
12140482258652076 = 22 · 37 · 710 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7- -2 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-75681,-6041223] |
[a1,a2,a3,a4,a6] |
j |
34543481/8748 |
j-invariant |
L |
1.1728202502331 |
L(r)(E,1)/r! |
Ω |
0.29320503807258 |
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 |
84966bp1 84966ch1 |
Quadratic twists by: -7 17 |