Atkin-Lehner |
2+ 3- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
34272t |
Isogeny class |
Conductor |
34272 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
334209627391864896 = 26 · 312 · 76 · 174 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-306129,58962440] |
[a1,a2,a3,a4,a6] |
j |
68003243639904448/7163272192041 |
j-invariant |
L |
3.5414238278163 |
L(r)(E,1)/r! |
Ω |
0.29511865231745 |
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 |
34272m1 68544ex2 11424n1 |
Quadratic twists by: -4 8 -3 |