Atkin-Lehner |
2- 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
56644b |
Isogeny class |
Conductor |
56644 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
211680 |
Modular degree for the optimal curve |
Δ |
2226372510540304 = 24 · 78 · 176 |
Discriminant |
Eigenvalues |
2- -1 -3 7+ 3 2 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-33042,-425879] |
[a1,a2,a3,a4,a6] |
j |
1792 |
j-invariant |
L |
1.1403600459627 |
L(r)(E,1)/r! |
Ω |
0.38012001496326 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56644g1 196b1 |
Quadratic twists by: -7 17 |