Atkin-Lehner |
2- 5+ 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59780a |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
9 |
Product of Tamagawa factors cp |
deg |
44352 |
Modular degree for the optimal curve |
Δ |
28132228880 = 24 · 5 · 78 · 61 |
Discriminant |
Eigenvalues |
2- 0 5+ 7+ 0 4 3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3773,88837] |
[a1,a2,a3,a4,a6] |
Generators |
[49:147:1] |
Generators of the group modulo torsion |
j |
64399104/305 |
j-invariant |
L |
5.9022634871938 |
L(r)(E,1)/r! |
Ω |
1.1886324937289 |
Real period |
R |
0.55173239632382 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59780i1 |
Quadratic twists by: -7 |