Atkin-Lehner |
2+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
129472t |
Isogeny class |
Conductor |
129472 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
37417408 = 26 · 7 · 174 |
Discriminant |
Eigenvalues |
2+ 1 4 7+ 2 4 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-96,182] |
[a1,a2,a3,a4,a6] |
j |
18496/7 |
j-invariant |
L |
5.621731774414 |
L(r)(E,1)/r! |
Ω |
1.8739108237172 |
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 |
129472bp1 64736d1 129472bd1 |
Quadratic twists by: -4 8 17 |