Atkin-Lehner |
2- 3+ 5+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
31920bb |
Isogeny class |
Conductor |
31920 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.275607698496E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -6 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-47132216,124557268080] |
[a1,a2,a3,a4,a6] |
j |
2826944949483509435147449/79970891076562500 |
j-invariant |
L |
1.2751174072089 |
L(r)(E,1)/r! |
Ω |
0.15938967590171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
3990j2 127680gi2 95760fj2 |
Quadratic twists by: -4 8 -3 |