Atkin-Lehner |
2- 5+ 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
41650cg |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
172800 |
Modular degree for the optimal curve |
Δ |
-312505156250 = -1 · 2 · 57 · 76 · 17 |
Discriminant |
Eigenvalues |
2- 3 5+ 7- -4 -3 17- -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-12480,540397] |
[a1,a2,a3,a4,a6] |
j |
-116930169/170 |
j-invariant |
L |
7.7303068242763 |
L(r)(E,1)/r! |
Ω |
0.96628835303211 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
8330l1 850j1 |
Quadratic twists by: 5 -7 |