Atkin-Lehner |
2- 3- 5+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
122400df |
Isogeny class |
Conductor |
122400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
12393000000 = 26 · 36 · 56 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5+ 4 -2 -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1425,-20000] |
[a1,a2,a3,a4,a6] |
Generators |
[-528:532:27] |
Generators of the group modulo torsion |
j |
438976/17 |
j-invariant |
L |
8.1165812825995 |
L(r)(E,1)/r! |
Ω |
0.77889811279408 |
Real period |
R |
5.21029717706 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007371 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122400dh1 13600f1 4896j1 |
Quadratic twists by: -4 -3 5 |