Atkin-Lehner |
2- 3+ 5- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
76050ea |
Isogeny class |
Conductor |
76050 |
Conductor |
∏ cp |
204 |
Product of Tamagawa factors cp |
deg |
42007680 |
Modular degree for the optimal curve |
Δ |
-1.7240028556241E+26 |
Discriminant |
Eigenvalues |
2- 3+ 5- 5 -2 13+ 2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-188801255,1181618514847] |
[a1,a2,a3,a4,a6] |
Generators |
[5539:-555730:1] |
Generators of the group modulo torsion |
j |
-74168622330075/17179869184 |
j-invariant |
L |
12.375070534446 |
L(r)(E,1)/r! |
Ω |
0.054568379901983 |
Real period |
R |
1.1116714583958 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999991814 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
76050w1 76050p1 76050x1 |
Quadratic twists by: -3 5 13 |