Atkin-Lehner |
2- 3- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
59850gq |
Isogeny class |
Conductor |
59850 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
218759231250000 = 24 · 36 · 58 · 7 · 193 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- -3 5 6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-19805,-797803] |
[a1,a2,a3,a4,a6] |
j |
3016755625/768208 |
j-invariant |
L |
4.9199800183697 |
L(r)(E,1)/r! |
Ω |
0.40999833487421 |
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 |
6650o1 59850bp1 |
Quadratic twists by: -3 5 |