Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23698k |
Isogeny class |
Conductor |
23698 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
630778346311603232 = 25 · 178 · 414 |
Discriminant |
Eigenvalues |
2- -2 -4 0 -2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-221380,-12151824] |
[a1,a2,a3,a4,a6] |
Generators |
[670:11514:1] |
Generators of the group modulo torsion |
j |
49710193744609/26132637728 |
j-invariant |
L |
2.9131413823245 |
L(r)(E,1)/r! |
Ω |
0.23339105526207 |
Real period |
R |
0.62409019468494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1394f2 |
Quadratic twists by: 17 |