Atkin-Lehner |
2- 3+ 19+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
79344q |
Isogeny class |
Conductor |
79344 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
1288252035072 = 212 · 39 · 19 · 292 |
Discriminant |
Eigenvalues |
2- 3+ -4 4 6 -2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4347,95850] |
[a1,a2,a3,a4,a6] |
Generators |
[-17:406:1] |
Generators of the group modulo torsion |
j |
112678587/15979 |
j-invariant |
L |
6.5559558614018 |
L(r)(E,1)/r! |
Ω |
0.8260095901435 |
Real period |
R |
1.9842251053516 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999958908 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4959b1 79344p1 |
Quadratic twists by: -4 -3 |