Atkin-Lehner |
2- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
6800h |
Isogeny class |
Conductor |
6800 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18496000000 = 212 · 56 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 4 0 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2275,41250] |
[a1,a2,a3,a4,a6] |
j |
20346417/289 |
j-invariant |
L |
2.4558637266116 |
L(r)(E,1)/r! |
Ω |
1.2279318633058 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
425a2 27200br2 61200fz2 272b2 |
Quadratic twists by: -4 8 -3 5 |