Atkin-Lehner |
2- 3+ 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ds |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
16156800 |
Modular degree for the optimal curve |
Δ |
-5.5808184287232E+23 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 5 2 13+ -2 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-27929180,67233388447] |
[a1,a2,a3,a4,a6] |
j |
-74168622330075/17179869184 |
j-invariant |
L |
5.9832430759954 |
L(r)(E,1)/r! |
Ω |
0.087988868735372 |
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 |
76050o1 76050x1 76050p1 |
Quadratic twists by: -3 5 13 |