Atkin-Lehner |
2- 5- 7- 61- |
Signs for the Atkin-Lehner involutions |
Class |
59780p |
Isogeny class |
Conductor |
59780 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
50688 |
Modular degree for the optimal curve |
Δ |
321511187200 = 28 · 52 · 77 · 61 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 4 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1780,-10172] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:98:1] |
Generators of the group modulo torsion |
j |
20720464/10675 |
j-invariant |
L |
7.7428740984378 |
L(r)(E,1)/r! |
Ω |
0.77708870595453 |
Real period |
R |
0.41516464159656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000162 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8540a1 |
Quadratic twists by: -7 |