Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
52416cj |
Isogeny class |
Conductor |
52416 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
-8903869857792 = -1 · 227 · 36 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -3 13+ 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4020,104816] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:8704:27] |
Generators of the group modulo torsion |
j |
37595375/46592 |
j-invariant |
L |
5.7741143717265 |
L(r)(E,1)/r! |
Ω |
0.49060967251002 |
Real period |
R |
2.9423158037964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52416en1 1638j1 5824i1 |
Quadratic twists by: -4 8 -3 |