Atkin-Lehner |
2- 3+ 17+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
35088i |
Isogeny class |
Conductor |
35088 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
82782978048 = 222 · 33 · 17 · 43 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -4 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6408,-194832] |
[a1,a2,a3,a4,a6] |
Generators |
[-46:22:1] [317:5434:1] |
Generators of the group modulo torsion |
j |
7105572015625/20210688 |
j-invariant |
L |
7.4948851544171 |
L(r)(E,1)/r! |
Ω |
0.53368811579423 |
Real period |
R |
14.043567642992 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4386g1 105264bm1 |
Quadratic twists by: -4 -3 |