Atkin-Lehner |
2- 7+ 17- 31- |
Signs for the Atkin-Lehner involutions |
Class |
51646u |
Isogeny class |
Conductor |
51646 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
Δ |
-347907183325808708 = -1 · 22 · 78 · 17 · 316 |
Discriminant |
Eigenvalues |
2- 1 0 7+ -3 -1 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-556053,-162145915] |
[a1,a2,a3,a4,a6] |
j |
-3298283676228625/60350250308 |
j-invariant |
L |
3.143559228266 |
L(r)(E,1)/r! |
Ω |
0.087321089667203 |
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 |
51646x2 |
Quadratic twists by: -7 |