Atkin-Lehner |
2- 3+ 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
3588b |
Isogeny class |
Conductor |
3588 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
255782262528 = 28 · 32 · 136 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1836,18648] |
[a1,a2,a3,a4,a6] |
j |
2675089395664/999149463 |
j-invariant |
L |
2.6963053115481 |
L(r)(E,1)/r! |
Ω |
0.89876843718268 |
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 |
14352bc2 57408bp2 10764h2 89700x2 |
Quadratic twists by: -4 8 -3 5 |