Atkin-Lehner |
2+ 13+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
79768a |
Isogeny class |
Conductor |
79768 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
150528 |
Modular degree for the optimal curve |
Δ |
-12320796809984 = -1 · 28 · 138 · 59 |
Discriminant |
Eigenvalues |
2+ 1 -1 -1 -2 13+ -6 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-10196,427376] |
[a1,a2,a3,a4,a6] |
Generators |
[-100:676:1] |
Generators of the group modulo torsion |
j |
-94875856/9971 |
j-invariant |
L |
5.1608962169259 |
L(r)(E,1)/r! |
Ω |
0.69411157756312 |
Real period |
R |
1.8588136199621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000649 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6136e1 |
Quadratic twists by: 13 |