Atkin-Lehner |
2- 17+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
23698k |
Isogeny class |
Conductor |
23698 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
706334012736512 = 210 · 177 · 412 |
Discriminant |
Eigenvalues |
2- -2 -4 0 -2 -2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-175140,-28197104] |
[a1,a2,a3,a4,a6] |
Generators |
[-240:284:1] |
Generators of the group modulo torsion |
j |
24614236831969/29262848 |
j-invariant |
L |
2.9131413823245 |
L(r)(E,1)/r! |
Ω |
0.23339105526207 |
Real period |
R |
1.2481803893699 |
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 |
1394f1 |
Quadratic twists by: 17 |