Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400ds |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
74880 |
Modular degree for the optimal curve |
Δ |
643200000000 = 213 · 3 · 58 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 4 -3 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2208,9588] |
[a1,a2,a3,a4,a6] |
Generators |
[2:72:1] |
Generators of the group modulo torsion |
j |
744385/402 |
j-invariant |
L |
7.3219127920503 |
L(r)(E,1)/r! |
Ω |
0.79539590212791 |
Real period |
R |
2.3013422537449 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999456 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10050ba1 80400bt1 |
Quadratic twists by: -4 5 |