Atkin-Lehner |
2+ 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
116160dz |
Isogeny class |
Conductor |
116160 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
3686400 |
Modular degree for the optimal curve |
Δ |
496540849589452800 = 222 · 35 · 52 · 117 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 11- 2 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10791425,13641134175] |
[a1,a2,a3,a4,a6] |
j |
299270638153369/1069200 |
j-invariant |
L |
5.1570165704454 |
L(r)(E,1)/r! |
Ω |
0.25785078961549 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116160gk1 3630n1 10560z1 |
Quadratic twists by: -4 8 -11 |