Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688bf |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
deg |
1451520 |
Modular degree for the optimal curve |
Δ |
-981337183436729088 = -1 · 28 · 39 · 417 |
Discriminant |
Eigenvalues |
2- 3- -2 -4 -5 -4 5 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,17931,-47646513] |
[a1,a2,a3,a4,a6] |
Generators |
[519:10086:1] |
Generators of the group modulo torsion |
j |
524288/807003 |
j-invariant |
L |
3.1981371003265 |
L(r)(E,1)/r! |
Ω |
0.12933097171625 |
Real period |
R |
0.34344882952584 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999956063 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20172d1 1968f1 |
Quadratic twists by: -4 41 |