Atkin-Lehner |
2+ 3- 5+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
13350g |
Isogeny class |
Conductor |
13350 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
6000 |
Modular degree for the optimal curve |
Δ |
-553651200 = -1 · 210 · 35 · 52 · 89 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,159,-812] |
[a1,a2,a3,a4,a6] |
Generators |
[11:42:1] |
Generators of the group modulo torsion |
j |
17943021455/22146048 |
j-invariant |
L |
3.402736716485 |
L(r)(E,1)/r! |
Ω |
0.87888747671769 |
Real period |
R |
0.38716409172115 |
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 |
106800bi1 40050bc1 13350n1 |
Quadratic twists by: -4 -3 5 |