Atkin-Lehner |
2- 3- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
117600ie |
Isogeny class |
Conductor |
117600 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
983040 |
Modular degree for the optimal curve |
Δ |
308828625000000 = 26 · 3 · 59 · 77 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 6 -6 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-169458,26780088] |
[a1,a2,a3,a4,a6] |
Generators |
[242:48:1] |
Generators of the group modulo torsion |
j |
36594368/21 |
j-invariant |
L |
8.6779961160543 |
L(r)(E,1)/r! |
Ω |
0.53819473206899 |
Real period |
R |
4.0310669933544 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000039516 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
117600cd1 117600cb1 16800bp1 |
Quadratic twists by: -4 5 -7 |