Atkin-Lehner |
2- 3- 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
82800fo |
Isogeny class |
Conductor |
82800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
53760 |
Modular degree for the optimal curve |
Δ |
-8584704000 = -1 · 212 · 36 · 53 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 0 -2 -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2640,52400] |
[a1,a2,a3,a4,a6] |
Generators |
[25:45:1] |
Generators of the group modulo torsion |
j |
-5451776/23 |
j-invariant |
L |
6.006568163385 |
L(r)(E,1)/r! |
Ω |
1.3118909036197 |
Real period |
R |
1.1446394186269 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999975036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5175t1 9200bf1 82800fe1 |
Quadratic twists by: -4 -3 5 |