Atkin-Lehner |
2- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646u |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
108 |
Product of Tamagawa factors cp |
deg |
221760 |
Modular degree for the optimal curve |
Δ |
-1741945029618752 = -1 · 26 · 78 · 173 · 312 |
Discriminant |
Eigenvalues |
2- 1 0 7+ -3 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,27047,-1047047] |
[a1,a2,a3,a4,a6] |
j |
379573331375/302169152 |
j-invariant |
L |
3.143559228266 |
L(r)(E,1)/r! |
Ω |
0.26196326900161 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
51646x1 |
Quadratic twists by: -7 |