Atkin-Lehner |
2+ 3- 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050cl |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
290304 |
Modular degree for the optimal curve |
Δ |
-114359172232500 = -1 · 22 · 36 · 54 · 137 |
Discriminant |
Eigenvalues |
2+ 3- 5- 1 3 13+ -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-38817,-2978559] |
[a1,a2,a3,a4,a6] |
Generators |
[309:3648:1] |
Generators of the group modulo torsion |
j |
-2941225/52 |
j-invariant |
L |
5.4577706703738 |
L(r)(E,1)/r! |
Ω |
0.16988612926474 |
Real period |
R |
0.66929275598267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999977102 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8450y1 76050ef1 5850ca1 |
Quadratic twists by: -3 5 13 |