Atkin-Lehner |
3+ 17- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
10251c |
Isogeny class |
Conductor |
10251 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
10368 |
Modular degree for the optimal curve |
Δ |
-1710856339281 = -1 · 39 · 172 · 673 |
Discriminant |
Eigenvalues |
-1 3+ 1 1 0 -2 17- 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,538,-62882] |
[a1,a2,a3,a4,a6] |
j |
876467493/86920507 |
j-invariant |
L |
1.5941872392293 |
L(r)(E,1)/r! |
Ω |
0.39854680980732 |
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 |
10251a1 |
Quadratic twists by: -3 |