Atkin-Lehner |
2- 3+ 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
37200ch |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-202440757248000 = -1 · 215 · 313 · 53 · 31 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 3 4 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,8872,-607248] |
[a1,a2,a3,a4,a6] |
j |
150823633267/395392104 |
j-invariant |
L |
2.3248135671381 |
L(r)(E,1)/r! |
Ω |
0.29060169589204 |
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 |
4650s1 111600gj1 37200dw1 |
Quadratic twists by: -4 -3 5 |