Atkin-Lehner |
2- 3- 5- 7- 59+ |
Signs for the Atkin-Lehner involutions |
Class |
86730cr |
Isogeny class |
Conductor |
86730 |
Conductor |
∏ cp |
416 |
Product of Tamagawa factors cp |
deg |
1277952 |
Modular degree for the optimal curve |
Δ |
44551882659594240 = 226 · 38 · 5 · 73 · 59 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 2 -6 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-263145,-50976423] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:915:1] |
Generators of the group modulo torsion |
j |
5875097286343434967/129888870727680 |
j-invariant |
L |
14.000746810447 |
L(r)(E,1)/r! |
Ω |
0.2110741720524 |
Real period |
R |
0.63779743462235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000026 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
86730ca1 |
Quadratic twists by: -7 |