Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
69600bx |
Isogeny class |
Conductor |
69600 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
169128000 = 26 · 36 · 53 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 -6 2 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-138,-72] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:24:1] [-3:18:1] |
Generators of the group modulo torsion |
j |
36594368/21141 |
j-invariant |
L |
11.957011727098 |
L(r)(E,1)/r! |
Ω |
1.5209428325032 |
Real period |
R |
1.3102631113127 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69600k1 69600l1 |
Quadratic twists by: -4 5 |