Atkin-Lehner |
2- 3+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79968br |
Isogeny class |
Conductor |
79968 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
688128 |
Modular degree for the optimal curve |
Δ |
34279008730311744 = 26 · 38 · 710 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 4 2 17+ -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-134374,-16691576] |
[a1,a2,a3,a4,a6] |
Generators |
[2912681:11150244:6859] |
Generators of the group modulo torsion |
j |
35637273157312/4552605729 |
j-invariant |
L |
4.2461901090381 |
L(r)(E,1)/r! |
Ω |
0.25145300223452 |
Real period |
R |
8.4433076347148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004618 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
79968co1 11424u1 |
Quadratic twists by: -4 -7 |