Atkin-Lehner |
5+ 7- 17- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11305f |
Isogeny class |
Conductor |
11305 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
4944 |
Modular degree for the optimal curve |
Δ |
-5369875 = -1 · 53 · 7 · 17 · 192 |
Discriminant |
Eigenvalues |
2 -2 5+ 7- 0 -5 17- 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-306,-2169] |
[a1,a2,a3,a4,a6] |
Generators |
[1796:7017:64] |
Generators of the group modulo torsion |
j |
-3179116785664/5369875 |
j-invariant |
L |
5.6495171357576 |
L(r)(E,1)/r! |
Ω |
0.5705280844567 |
Real period |
R |
4.9511297424889 |
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 |
101745bg1 56525e1 79135ba1 |
Quadratic twists by: -3 5 -7 |