Atkin-Lehner |
2+ 3- 17+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
102306g |
Isogeny class |
Conductor |
102306 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
663552 |
Modular degree for the optimal curve |
Δ |
41834848389696 = 26 · 33 · 177 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 2 -2 -4 -4 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-162280,-25173514] |
[a1,a2,a3,a4,a6] |
j |
19580389825177/1733184 |
j-invariant |
L |
1.4272073459594 |
L(r)(E,1)/r! |
Ω |
0.23786795132931 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6018a1 |
Quadratic twists by: 17 |