Atkin-Lehner |
2- 5- 7- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
59780i |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
239120 = 24 · 5 · 72 · 61 |
Discriminant |
Eigenvalues |
2- 0 5- 7- 0 -4 -3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-77,-259] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:1:1] [65:519:1] |
Generators of the group modulo torsion |
j |
64399104/305 |
j-invariant |
L |
10.217935277329 |
L(r)(E,1)/r! |
Ω |
1.6121322150704 |
Real period |
R |
2.1127165588146 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
59780a1 |
Quadratic twists by: -7 |