Atkin-Lehner |
2+ 3- 5- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
118080cd |
Isogeny class |
Conductor |
118080 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
12536355225600 = 224 · 36 · 52 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -6 2 -8 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8172,-227664] |
[a1,a2,a3,a4,a6] |
Generators |
[-60:216:1] |
Generators of the group modulo torsion |
j |
315821241/65600 |
j-invariant |
L |
5.2488268743171 |
L(r)(E,1)/r! |
Ω |
0.50947984903112 |
Real period |
R |
2.575581186676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000033715 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118080fh1 3690q1 13120j1 |
Quadratic twists by: -4 8 -3 |