Atkin-Lehner |
2+ 5- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
119560j |
Isogeny class |
Conductor |
119560 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
118272 |
Modular degree for the optimal curve |
Δ |
28132228880 = 24 · 5 · 78 · 61 |
Discriminant |
Eigenvalues |
2+ 0 5- 7+ 2 -2 7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9947,381759] |
[a1,a2,a3,a4,a6] |
Generators |
[50:97:1] |
Generators of the group modulo torsion |
j |
1180037376/305 |
j-invariant |
L |
7.7413392168005 |
L(r)(E,1)/r! |
Ω |
1.1540922565175 |
Real period |
R |
3.3538649659701 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000056241 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
119560c1 |
Quadratic twists by: -7 |