Atkin-Lehner |
2+ 3- 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050bc |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
787968 |
Modular degree for the optimal curve |
Δ |
1250304000000000 = 219 · 3 · 59 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 3 11- 1 -5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-853276,303300698] |
[a1,a2,a3,a4,a6] |
j |
4397152681594331569/80019456000 |
j-invariant |
L |
1.7822261018343 |
L(r)(E,1)/r! |
Ω |
0.44555652583824 |
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 |
12210u1 |
Quadratic twists by: 5 |