Atkin-Lehner |
7+ 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
22099a |
Isogeny class |
Conductor |
22099 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
20664 |
Modular degree for the optimal curve |
Δ |
-2599925251 = -1 · 78 · 11 · 41 |
Discriminant |
Eigenvalues |
-1 -2 1 7+ 11- -3 -3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-10340,403843] |
[a1,a2,a3,a4,a6] |
Generators |
[53:47:1] |
Generators of the group modulo torsion |
j |
-21208191361/451 |
j-invariant |
L |
1.7759318234803 |
L(r)(E,1)/r! |
Ω |
1.3311652322456 |
Real period |
R |
0.44470608167463 |
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 |
22099d1 |
Quadratic twists by: -7 |