Atkin-Lehner |
2- 19+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
37696m |
Isogeny class |
Conductor |
37696 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1.0750465170905E+19 |
Discriminant |
Eigenvalues |
2- 2 -2 0 2 4 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-15732609,-24012924127] |
[a1,a2,a3,a4,a6] |
Generators |
[-24110341377:-5641884928:10503459] |
Generators of the group modulo torsion |
j |
1642805188477494496993/41009770091648 |
j-invariant |
L |
7.9615893720948 |
L(r)(E,1)/r! |
Ω |
0.075805377626591 |
Real period |
R |
8.752225788994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37696g2 9424f2 |
Quadratic twists by: -4 8 |