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 |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
1506228048 = 24 · 34 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3+ 4 4 0 13+ -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-801,-8262] |
[a1,a2,a3,a4,a6] |
j |
3556668227584/94139253 |
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 |
14352bc1 57408bp1 10764h1 89700x1 |
Quadratic twists by: -4 8 -3 5 |