Atkin-Lehner |
2- 79- |
Signs for the Atkin-Lehner involutions |
Class |
49928a |
Isogeny class |
Conductor |
49928 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
399360 |
Modular degree for the optimal curve |
Δ |
19664802801826816 = 210 · 797 |
Discriminant |
Eigenvalues |
2- -1 -1 5 4 1 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-101936,-10520708] |
[a1,a2,a3,a4,a6] |
Generators |
[-53158:424388:343] |
Generators of the group modulo torsion |
j |
470596/79 |
j-invariant |
L |
6.2893642086459 |
L(r)(E,1)/r! |
Ω |
0.27023935119799 |
Real period |
R |
2.9091637564783 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000017 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
99856a1 632a1 |
Quadratic twists by: -4 -79 |