Atkin-Lehner |
2- 3- 5+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080eq |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
4573963883520 = 210 · 312 · 5 · 412 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 4 0 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-43248,-3460232] |
[a1,a2,a3,a4,a6] |
Generators |
[85218:364748:343] |
Generators of the group modulo torsion |
j |
11983793373184/6127245 |
j-invariant |
L |
6.0308750312128 |
L(r)(E,1)/r! |
Ω |
0.33107117871228 |
Real period |
R |
9.1081244235028 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000089072 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080bd1 29520cb1 39360dj1 |
Quadratic twists by: -4 8 -3 |