Atkin-Lehner |
2+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472v |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
39234996011008 = 226 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 3 2 7+ 2 6 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-21964,1216112] |
[a1,a2,a3,a4,a6] |
j |
53520777/1792 |
j-invariant |
L |
7.7146624839363 |
L(r)(E,1)/r! |
Ω |
0.6428885354003 |
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 |
129472dv1 4046d1 129472bj1 |
Quadratic twists by: -4 8 17 |