Atkin-Lehner |
2+ 3- 17- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
13158f |
Isogeny class |
Conductor |
13158 |
Conductor |
∏ cp |
10 |
Product of Tamagawa factors cp |
deg |
100800 |
Modular degree for the optimal curve |
Δ |
-46670290489442304 = -1 · 220 · 36 · 175 · 43 |
Discriminant |
Eigenvalues |
2+ 3- -1 0 2 5 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-56130,11599892] |
[a1,a2,a3,a4,a6] |
Generators |
[2804:146566:1] |
Generators of the group modulo torsion |
j |
-26827837227982881/64019602866176 |
j-invariant |
L |
3.5312328096588 |
L(r)(E,1)/r! |
Ω |
0.31749654620036 |
Real period |
R |
1.1122114088858 |
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 |
105264bx1 1462c1 |
Quadratic twists by: -4 -3 |