Atkin-Lehner |
2- 3- 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
37296ca |
Isogeny class |
Conductor |
37296 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-29181613112064 = -1 · 28 · 38 · 73 · 373 |
Discriminant |
Eigenvalues |
2- 3- 3 7+ 3 -1 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,5784,-197188] |
[a1,a2,a3,a4,a6] |
j |
114667692032/156365811 |
j-invariant |
L |
4.2351809135052 |
L(r)(E,1)/r! |
Ω |
0.35293174279409 |
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 |
9324i2 12432be2 |
Quadratic twists by: -4 -3 |