Atkin-Lehner |
2- 7+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
57596f |
Isogeny class |
Conductor |
57596 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
17280 |
Modular degree for the optimal curve |
Δ |
1612688 = 24 · 72 · 112 · 17 |
Discriminant |
Eigenvalues |
2- 2 4 7+ 11- -3 17- -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-106,453] |
[a1,a2,a3,a4,a6] |
j |
68679424/833 |
j-invariant |
L |
5.356676122647 |
L(r)(E,1)/r! |
Ω |
2.6783380641595 |
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 |
57596k1 |
Quadratic twists by: -11 |