Atkin-Lehner |
2- 3- 5+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
61200ge |
Isogeny class |
Conductor |
61200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
2467019980800 = 215 · 311 · 52 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 5 -1 2 17- 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6195,-171790] |
[a1,a2,a3,a4,a6] |
j |
352224985/33048 |
j-invariant |
L |
4.3309566599512 |
L(r)(E,1)/r! |
Ω |
0.54136958297992 |
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 |
7650bb1 20400cb1 61200ha1 |
Quadratic twists by: -4 -3 5 |