Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400dr |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
168960 |
Modular degree for the optimal curve |
Δ |
-4824000000000 = -1 · 212 · 32 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 -6 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,792,105588] |
[a1,a2,a3,a4,a6] |
Generators |
[12:342:1] |
Generators of the group modulo torsion |
j |
6859/603 |
j-invariant |
L |
7.3136742244306 |
L(r)(E,1)/r! |
Ω |
0.58959664383703 |
Real period |
R |
3.101134606156 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001264 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
5025d1 80400ci1 |
Quadratic twists by: -4 5 |