Atkin-Lehner |
2- 3- 23+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
51336o |
Isogeny class |
Conductor |
51336 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-6.847656918562E+22 |
Discriminant |
Eigenvalues |
2- 3- 0 4 0 6 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-15890655,27440284066] |
[a1,a2,a3,a4,a6] |
j |
-2377834451216831266000/366922631524457583 |
j-invariant |
L |
3.3915079380298 |
L(r)(E,1)/r! |
Ω |
0.10598462305778 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
102672k2 17112f2 |
Quadratic twists by: -4 -3 |