Atkin-Lehner |
2- 3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
79992l |
Isogeny class |
Conductor |
79992 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
-61579761408 = -1 · 28 · 39 · 112 · 101 |
Discriminant |
Eigenvalues |
2- 3+ -4 -2 11- -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,513,-11070] |
[a1,a2,a3,a4,a6] |
Generators |
[37:242:1] |
Generators of the group modulo torsion |
j |
2963088/12221 |
j-invariant |
L |
4.3148342088266 |
L(r)(E,1)/r! |
Ω |
0.56092150554337 |
Real period |
R |
1.9231007226656 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999957126 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
79992b1 |
Quadratic twists by: -3 |