Atkin-Lehner |
2- 3+ 5+ 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
128700d |
Isogeny class |
Conductor |
128700 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
40249766700000000 = 28 · 39 · 58 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-122175,-13304250] |
[a1,a2,a3,a4,a6] |
j |
2561648112/511225 |
j-invariant |
L |
3.1070953985381 |
L(r)(E,1)/r! |
Ω |
0.2589247369498 |
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 |
128700b2 25740b2 |
Quadratic twists by: -3 5 |