Atkin-Lehner |
2- 3- 5+ 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
72150ci |
Isogeny class |
Conductor |
72150 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1829002500000000 = 28 · 32 · 510 · 133 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 13+ -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-32338,-883708] |
[a1,a2,a3,a4,a6] |
j |
239355822010969/117056160000 |
j-invariant |
L |
5.9855411769963 |
L(r)(E,1)/r! |
Ω |
0.37409632325199 |
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 |
14430i1 |
Quadratic twists by: 5 |