Atkin-Lehner |
2+ 7- 11- 67- |
Signs for the Atkin-Lehner involutions |
Class |
113498j |
Isogeny class |
Conductor |
113498 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
645120 |
Modular degree for the optimal curve |
Δ |
1048189049126912 = 214 · 72 · 117 · 67 |
Discriminant |
Eigenvalues |
2+ -2 -2 7- 11- -2 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-37997,2384424] |
[a1,a2,a3,a4,a6] |
j |
3424515194017/591675392 |
j-invariant |
L |
0.93808594492185 |
L(r)(E,1)/r! |
Ω |
0.46904308604255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10318h1 |
Quadratic twists by: -11 |