Atkin-Lehner |
2- 3- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
80688y |
Isogeny class |
Conductor |
80688 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
57600 |
Modular degree for the optimal curve |
Δ |
-243907559424 = -1 · 217 · 33 · 413 |
Discriminant |
Eigenvalues |
2- 3- -1 2 0 1 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2856,-64332] |
[a1,a2,a3,a4,a6] |
Generators |
[68:246:1] |
Generators of the group modulo torsion |
j |
-9129329/864 |
j-invariant |
L |
7.9987664118893 |
L(r)(E,1)/r! |
Ω |
0.32477825485896 |
Real period |
R |
2.05236606049 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10086a1 80688l1 |
Quadratic twists by: -4 41 |