Atkin-Lehner |
3- 19- 47- |
Signs for the Atkin-Lehner involutions |
Class |
50901l |
Isogeny class |
Conductor |
50901 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
604800 |
Modular degree for the optimal curve |
Δ |
5289853396817229 = 3 · 198 · 473 |
Discriminant |
Eigenvalues |
2 3- -3 1 -5 4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-47772,-1992523] |
[a1,a2,a3,a4,a6] |
j |
256289886208/112440309 |
j-invariant |
L |
2.0172358337171 |
L(r)(E,1)/r! |
Ω |
0.3362059725812 |
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 |
2679b1 |
Quadratic twists by: -19 |