Atkin-Lehner |
2- 3- 5+ 29- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
96570r |
Isogeny class |
Conductor |
96570 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
1437696 |
Modular degree for the optimal curve |
Δ |
485831804729367780 = 22 · 312 · 5 · 293 · 374 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 -6 0 6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-244643,-32258433] |
[a1,a2,a3,a4,a6] |
j |
2221226779690063081/666435946130820 |
j-invariant |
L |
2.6357728806296 |
L(r)(E,1)/r! |
Ω |
0.21964773395764 |
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 |
32190e1 |
Quadratic twists by: -3 |