Atkin-Lehner |
2- 7+ 13+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
68614n |
Isogeny class |
Conductor |
68614 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
-4471222070397042688 = -1 · 216 · 75 · 136 · 292 |
Discriminant |
Eigenvalues |
2- 2 -2 7+ -4 13+ -4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-359044,-131325563] |
[a1,a2,a3,a4,a6] |
j |
-1060490285861833/926330847232 |
j-invariant |
L |
1.5052591558309 |
L(r)(E,1)/r! |
Ω |
0.094078697822556 |
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 |
406d1 |
Quadratic twists by: 13 |