Atkin-Lehner |
2- 3+ 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
73920fu |
Isogeny class |
Conductor |
73920 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
10083441762240 = 26 · 3 · 5 · 72 · 118 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 11+ -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-5860,-78518] |
[a1,a2,a3,a4,a6] |
j |
347784878972224/157553777535 |
j-invariant |
L |
2.277762654995 |
L(r)(E,1)/r! |
Ω |
0.56944065938347 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
73920hr1 36960v3 |
Quadratic twists by: -4 8 |