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 |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-299785708457164800 = -1 · 218 · 36 · 52 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 5 -3 13+ 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-198522,43096756] |
[a1,a2,a3,a4,a6] |
j |
-9836106385/3407872 |
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 |
8450r1 76050gg1 5850bo1 |
Quadratic twists by: -3 5 13 |