Atkin-Lehner |
2- 5- 7+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
22960n |
Isogeny class |
Conductor |
22960 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
7875280 = 24 · 5 · 74 · 41 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ 2 2 2 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52,51] |
[a1,a2,a3,a4,a6] |
Generators |
[-195:1416:125] |
Generators of the group modulo torsion |
j |
971882496/492205 |
j-invariant |
L |
5.5157739810239 |
L(r)(E,1)/r! |
Ω |
2.0663911093732 |
Real period |
R |
5.3385576002569 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5740d1 91840x1 114800bn1 |
Quadratic twists by: -4 8 5 |