Atkin-Lehner |
2- 3- 5- 11+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
61050cu |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
22 |
Product of Tamagawa factors cp |
deg |
549120 |
Modular degree for the optimal curve |
Δ |
590964000000000 = 211 · 3 · 59 · 113 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- 5 11+ -1 -7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-78513,-8392983] |
[a1,a2,a3,a4,a6] |
j |
27404301397949/302573568 |
j-invariant |
L |
6.2787985765113 |
L(r)(E,1)/r! |
Ω |
0.28539993525875 |
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 |
61050m1 |
Quadratic twists by: 5 |