Atkin-Lehner |
2- 5- 23+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
53360o |
Isogeny class |
Conductor |
53360 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
109281280 = 215 · 5 · 23 · 29 |
Discriminant |
Eigenvalues |
2- -1 5- -2 5 5 -2 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-120,112] |
[a1,a2,a3,a4,a6] |
Generators |
[12:16:1] |
Generators of the group modulo torsion |
j |
47045881/26680 |
j-invariant |
L |
5.5544773963592 |
L(r)(E,1)/r! |
Ω |
1.615353078435 |
Real period |
R |
0.85963828443634 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998916 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6670d1 |
Quadratic twists by: -4 |