Atkin-Lehner |
2- 5+ 11+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
25850h |
Isogeny class |
Conductor |
25850 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
78720 |
Modular degree for the optimal curve |
Δ |
42352640000000 = 220 · 57 · 11 · 47 |
Discriminant |
Eigenvalues |
2- 0 5+ 0 11+ 6 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-9880,-209253] |
[a1,a2,a3,a4,a6] |
j |
6825481747209/2710568960 |
j-invariant |
L |
2.4776165590701 |
L(r)(E,1)/r! |
Ω |
0.49552331181405 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
5170a1 |
Quadratic twists by: 5 |