Atkin-Lehner |
2- 3- 13+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
55536bb |
Isogeny class |
Conductor |
55536 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
40320 |
Modular degree for the optimal curve |
Δ |
3454783488 = 212 · 36 · 13 · 89 |
Discriminant |
Eigenvalues |
2- 3- 0 -1 0 13+ -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-7333,-244141] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:3:1] |
Generators of the group modulo torsion |
j |
10648000000000/843453 |
j-invariant |
L |
7.1154984464754 |
L(r)(E,1)/r! |
Ω |
0.5159127516757 |
Real period |
R |
2.2986762856531 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3471b1 |
Quadratic twists by: -4 |