Atkin-Lehner |
2+ 3- 7- 83- |
Signs for the Atkin-Lehner involutions |
Class |
111552bu |
Isogeny class |
Conductor |
111552 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
-3934655004672 = -1 · 214 · 310 · 72 · 83 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 -4 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-497,-95697] |
[a1,a2,a3,a4,a6] |
j |
-830321872/240152283 |
j-invariant |
L |
3.504884196344 |
L(r)(E,1)/r! |
Ω |
0.35048850906294 |
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 |
111552cb2 13944k2 |
Quadratic twists by: -4 8 |