Atkin-Lehner |
3- 5+ 23+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
73485a |
Isogeny class |
Conductor |
73485 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
108864 |
Modular degree for the optimal curve |
Δ |
3148758765 = 36 · 5 · 233 · 71 |
Discriminant |
Eigenvalues |
0 3- 5+ -2 5 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-40098,3090523] |
[a1,a2,a3,a4,a6] |
j |
9780573437526016/4319285 |
j-invariant |
L |
2.3132698020528 |
L(r)(E,1)/r! |
Ω |
1.1566348847848 |
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 |
8165d1 |
Quadratic twists by: -3 |