Atkin-Lehner |
2- 7+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
31808o |
Isogeny class |
Conductor |
31808 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-107105626684915712 = -1 · 242 · 73 · 71 |
Discriminant |
Eigenvalues |
2- 1 0 7+ -3 1 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-103073,20218079] |
[a1,a2,a3,a4,a6] |
j |
-461979552147625/408575541248 |
j-invariant |
L |
0.61173775899586 |
L(r)(E,1)/r! |
Ω |
0.30586887949958 |
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 |
31808n2 7952c2 |
Quadratic twists by: -4 8 |