Atkin-Lehner |
2- 3- 23+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
120888h |
Isogeny class |
Conductor |
120888 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2162688 |
Modular degree for the optimal curve |
Δ |
12443333935776768 = 210 · 310 · 232 · 733 |
Discriminant |
Eigenvalues |
2- 3- 2 -4 -6 -4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1172019,-488341762] |
[a1,a2,a3,a4,a6] |
Generators |
[26018:1387935:8] |
Generators of the group modulo torsion |
j |
238506480527004868/16668989433 |
j-invariant |
L |
3.4151991136219 |
L(r)(E,1)/r! |
Ω |
0.1451001003678 |
Real period |
R |
5.8842121138493 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000118301 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
40296c1 |
Quadratic twists by: -3 |