Atkin-Lehner |
2+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
114376c |
Isogeny class |
Conductor |
114376 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
-300285846787072 = -1 · 210 · 17 · 297 |
Discriminant |
Eigenvalues |
2+ 2 4 -1 4 1 17- 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13736,-1034212] |
[a1,a2,a3,a4,a6] |
j |
-470596/493 |
j-invariant |
L |
7.6200396119656 |
L(r)(E,1)/r! |
Ω |
0.21166777618824 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3944b1 |
Quadratic twists by: 29 |