Atkin-Lehner |
3+ 7+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
102459a |
Isogeny class |
Conductor |
102459 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
1297800 |
Modular degree for the optimal curve |
Δ |
-1692395071311929691 = -1 · 3 · 78 · 175 · 413 |
Discriminant |
Eigenvalues |
0 3+ -2 7+ 0 0 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-852469,-309060795] |
[a1,a2,a3,a4,a6] |
j |
-11884356909924352/293573892891 |
j-invariant |
L |
0.39222559215675 |
L(r)(E,1)/r! |
Ω |
0.078445134516314 |
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 |
102459p1 |
Quadratic twists by: -7 |