Atkin-Lehner |
2+ 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050bx |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-12369088068667200 = -1 · 26 · 36 · 52 · 139 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-17233722,27541316596] |
[a1,a2,a3,a4,a6] |
j |
-6434774386429585/140608 |
j-invariant |
L |
2.315842938752 |
L(r)(E,1)/r! |
Ω |
0.28948037480227 |
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 |
8450r2 76050gg2 5850bo2 |
Quadratic twists by: -3 5 13 |