Atkin-Lehner |
2- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
25568d |
Isogeny class |
Conductor |
25568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
5309092928 = 26 · 17 · 474 |
Discriminant |
Eigenvalues |
2- 2 0 0 6 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1478,22088] |
[a1,a2,a3,a4,a6] |
Generators |
[379:7332:1] |
Generators of the group modulo torsion |
j |
5582912824000/82954577 |
j-invariant |
L |
8.3147114421197 |
L(r)(E,1)/r! |
Ω |
1.3621220752572 |
Real period |
R |
3.0521168378208 |
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 |
25568c1 51136j1 |
Quadratic twists by: -4 8 |