Atkin-Lehner |
2+ 3+ 31+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63984c |
Isogeny class |
Conductor |
63984 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
58758429791232 = 210 · 316 · 31 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ -2 4 4 -2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-30624,-2019312] |
[a1,a2,a3,a4,a6] |
j |
3101870662222468/57381279093 |
j-invariant |
L |
0.7226045204627 |
L(r)(E,1)/r! |
Ω |
0.36130226058346 |
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 |
31992g3 |
Quadratic twists by: -4 |