Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
10080cd |
Isogeny class |
Conductor |
10080 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
165368283393600 = 26 · 316 · 52 · 74 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 4 -6 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-178617,-29049176] |
[a1,a2,a3,a4,a6] |
Generators |
[600:8932:1] |
Generators of the group modulo torsion |
j |
13507798771700416/3544416225 |
j-invariant |
L |
4.9035854082421 |
L(r)(E,1)/r! |
Ω |
0.23223394281237 |
Real period |
R |
5.2787130822259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10080bz1 20160ej2 3360k1 50400ba1 |
Quadratic twists by: -4 8 -3 5 |