Atkin-Lehner |
13+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
79781a |
Isogeny class |
Conductor |
79781 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
839040 |
Modular degree for the optimal curve |
Δ |
-156676816716522323 = -1 · 134 · 17 · 199 |
Discriminant |
Eigenvalues |
2 -1 0 -2 2 13+ 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-262928,-55188975] |
[a1,a2,a3,a4,a6] |
Generators |
[116527398941742:6062427786610781:41493607128] |
Generators of the group modulo torsion |
j |
-6229504000/485537 |
j-invariant |
L |
8.3639583823748 |
L(r)(E,1)/r! |
Ω |
0.10494762258657 |
Real period |
R |
19.924125426175 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
79781b1 |
Quadratic twists by: -19 |