Atkin-Lehner |
2- 5- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200dz |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
5578424320000 = 226 · 54 · 7 · 19 |
Discriminant |
Eigenvalues |
2- -1 5- 7- -1 -3 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8608,288512] |
[a1,a2,a3,a4,a6] |
Generators |
[176:2048:1] |
Generators of the group modulo torsion |
j |
27557573425/2179072 |
j-invariant |
L |
4.1734144781756 |
L(r)(E,1)/r! |
Ω |
0.74388911408639 |
Real period |
R |
1.4025660542537 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999755 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6650bb1 53200br1 |
Quadratic twists by: -4 5 |