Atkin-Lehner |
2- 3- 13+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
7176n |
Isogeny class |
Conductor |
7176 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
18816 |
Modular degree for the optimal curve |
Δ |
88941260006352 = 24 · 314 · 133 · 232 |
Discriminant |
Eigenvalues |
2- 3- -2 2 0 13+ -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17499,-772650] |
[a1,a2,a3,a4,a6] |
Generators |
[-93:243:1] |
Generators of the group modulo torsion |
j |
37039766561277952/5558828750397 |
j-invariant |
L |
4.6496359450764 |
L(r)(E,1)/r! |
Ω |
0.41926680955819 |
Real period |
R |
0.7921372396964 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14352c1 57408u1 21528d1 93288m1 |
Quadratic twists by: -4 8 -3 13 |