Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296ca |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-35236664064 = -1 · 28 · 312 · 7 · 37 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-696,11468] |
[a1,a2,a3,a4,a6] |
j |
-199794688/188811 |
j-invariant |
L |
4.2351809135052 |
L(r)(E,1)/r! |
Ω |
1.0587952283823 |
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 |
9324i1 12432be1 |
Quadratic twists by: -4 -3 |