Atkin-Lehner |
2- 3- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
58800ig |
Isogeny class |
Conductor |
58800 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
-6808114684980000000 = -1 · 28 · 310 · 57 · 78 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-661908,242105688] |
[a1,a2,a3,a4,a6] |
j |
-68150496976/14467005 |
j-invariant |
L |
4.5292092615898 |
L(r)(E,1)/r! |
Ω |
0.22646046297019 |
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 |
14700j2 11760bn2 8400bn2 |
Quadratic twists by: -4 5 -7 |