Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688x |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
12096000 |
Modular degree for the optimal curve |
Δ |
-6.5043381314961E+24 |
Discriminant |
Eigenvalues |
2- 3- 1 -2 2 1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4707360,122765657076] |
[a1,a2,a3,a4,a6] |
Generators |
[1489434:1817739264:1] |
Generators of the group modulo torsion |
j |
-592915705201/334302806016 |
j-invariant |
L |
9.5030108375749 |
L(r)(E,1)/r! |
Ω |
0.060838897862252 |
Real period |
R |
3.9049897232717 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000509 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086m1 1968h1 |
Quadratic twists by: -4 41 |