Atkin-Lehner |
3- 5- 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
22695g |
Isogeny class |
Conductor |
22695 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-259763452275 = -1 · 3 · 52 · 173 · 893 |
Discriminant |
Eigenvalues |
0 3- 5- -1 3 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-2785,-62594] |
[a1,a2,a3,a4,a6] |
Generators |
[15918:80081:216] |
Generators of the group modulo torsion |
j |
-2389765251137536/259763452275 |
j-invariant |
L |
5.3809480852396 |
L(r)(E,1)/r! |
Ω |
0.32658388579653 |
Real period |
R |
8.2382326857855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68085g2 113475b2 |
Quadratic twists by: -3 5 |