Atkin-Lehner |
2- 3+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79968by |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-15676674660864 = -1 · 29 · 37 · 77 · 17 |
Discriminant |
Eigenvalues |
2- 3+ 3 7- -1 1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6256,-6684] |
[a1,a2,a3,a4,a6] |
j |
449455096/260253 |
j-invariant |
L |
3.3248791611401 |
L(r)(E,1)/r! |
Ω |
0.41560990280821 |
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 |
79968bf1 11424t1 |
Quadratic twists by: -4 -7 |