Atkin-Lehner |
2- 3- 5- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
37200dp |
Isogeny class |
Conductor |
37200 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
304128 |
Modular degree for the optimal curve |
Δ |
-55720758214656000 = -1 · 234 · 33 · 53 · 312 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 2 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11368,11362868] |
[a1,a2,a3,a4,a6] |
j |
-317354125661/108829605888 |
j-invariant |
L |
3.4444675309016 |
L(r)(E,1)/r! |
Ω |
0.28703896091158 |
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 |
4650l1 111600ga1 37200cf1 |
Quadratic twists by: -4 -3 5 |