Atkin-Lehner |
3- 23- 31- |
Signs for the Atkin-Lehner involutions |
Class |
49197r |
Isogeny class |
Conductor |
49197 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
15927749607287871 = 38 · 238 · 31 |
Discriminant |
Eigenvalues |
1 3- 2 -2 0 -2 4 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-66930,-2752799] |
[a1,a2,a3,a4,a6] |
j |
223980311017/107593839 |
j-invariant |
L |
2.4906787335998 |
L(r)(E,1)/r! |
Ω |
0.31133484168562 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2139f2 |
Quadratic twists by: -23 |