Atkin-Lehner |
2- 7+ 11- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
79618s |
Isogeny class |
Conductor |
79618 |
Conductor |
∏ cp |
38 |
Product of Tamagawa factors cp |
deg |
1149120 |
Modular degree for the optimal curve |
Δ |
42445021340237824 = 219 · 76 · 114 · 47 |
Discriminant |
Eigenvalues |
2- 1 1 7+ 11- -5 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-902965,330034849] |
[a1,a2,a3,a4,a6] |
Generators |
[-174:22039:1] |
Generators of the group modulo torsion |
j |
5561164633186146721/2899052068864 |
j-invariant |
L |
11.6522545765 |
L(r)(E,1)/r! |
Ω |
0.35659923322677 |
Real period |
R |
0.85989606748516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000294 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79618m1 |
Quadratic twists by: -11 |