Atkin-Lehner |
5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
69575bd |
Isogeny class |
Conductor |
69575 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-5093237875 = -1 · 53 · 116 · 23 |
Discriminant |
Eigenvalues |
2 -2 5- 1 11- 2 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2218,-41101] |
[a1,a2,a3,a4,a6] |
j |
-5451776/23 |
j-invariant |
L |
1.3909553918368 |
L(r)(E,1)/r! |
Ω |
0.34773885342774 |
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 |
69575z1 575e1 |
Quadratic twists by: 5 -11 |