Atkin-Lehner |
5+ 23- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
76705d |
Isogeny class |
Conductor |
76705 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
1169223903125 = 55 · 232 · 294 |
Discriminant |
Eigenvalues |
-2 2 5+ 2 3 6 -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-2936,33292] |
[a1,a2,a3,a4,a6] |
j |
5292783210496/2210253125 |
j-invariant |
L |
1.568283279825 |
L(r)(E,1)/r! |
Ω |
0.7841416529435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76705k1 |
Quadratic twists by: -23 |