Atkin-Lehner |
5+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
7175d |
Isogeny class |
Conductor |
7175 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
-686669921875 = -1 · 511 · 73 · 41 |
Discriminant |
Eigenvalues |
0 0 5+ 7- 0 -4 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,2200,-3469] |
[a1,a2,a3,a4,a6] |
Generators |
[5:87:1] |
Generators of the group modulo torsion |
j |
75365351424/43946875 |
j-invariant |
L |
3.1433340808244 |
L(r)(E,1)/r! |
Ω |
0.53493511507358 |
Real period |
R |
0.97935057674925 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
114800be1 64575y1 1435a1 50225b1 |
Quadratic twists by: -4 -3 5 -7 |