Atkin-Lehner |
2+ 7- 17- 67- |
Signs for the Atkin-Lehner involutions |
Class |
111622g |
Isogeny class |
Conductor |
111622 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
147097979076608 = 214 · 76 · 17 · 672 |
Discriminant |
Eigenvalues |
2+ 0 0 7- 4 -6 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-75812,-7994288] |
[a1,a2,a3,a4,a6] |
j |
409593028559625/1250312192 |
j-invariant |
L |
0.57553848219067 |
L(r)(E,1)/r! |
Ω |
0.28776932276192 |
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 |
2278a1 |
Quadratic twists by: -7 |