Atkin-Lehner |
2- 3- 5- 67- |
Signs for the Atkin-Lehner involutions |
Class |
80400dq |
Isogeny class |
Conductor |
80400 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
921600 |
Modular degree for the optimal curve |
Δ |
-225068544000000000 = -1 · 218 · 38 · 59 · 67 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 2 6 -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-429208,-110754412] |
[a1,a2,a3,a4,a6] |
Generators |
[1484:50226:1] |
Generators of the group modulo torsion |
j |
-1093045300901/28133568 |
j-invariant |
L |
8.7550230813599 |
L(r)(E,1)/r! |
Ω |
0.093119899643661 |
Real period |
R |
5.8761762473776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002572 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10050f1 80400ch1 |
Quadratic twists by: -4 5 |