Atkin-Lehner |
2- 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
59780h |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
292922000 = 24 · 53 · 74 · 61 |
Discriminant |
Eigenvalues |
2- -2 5- 7+ 0 -4 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-310,1833] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:35:1] [-12:63:1] |
Generators of the group modulo torsion |
j |
86039296/7625 |
j-invariant |
L |
7.4484532047325 |
L(r)(E,1)/r! |
Ω |
1.6860761526841 |
Real period |
R |
1.4725418724195 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999822 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
59780d1 |
Quadratic twists by: -7 |