Atkin-Lehner |
2+ 3- 5+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
60720w |
Isogeny class |
Conductor |
60720 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
1335840000 = 28 · 3 · 54 · 112 · 23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -6 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-276,-276] |
[a1,a2,a3,a4,a6] |
j |
9115564624/5218125 |
j-invariant |
L |
2.5389397149495 |
L(r)(E,1)/r! |
Ω |
1.2694698591844 |
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 |
30360a2 |
Quadratic twists by: -4 |