Atkin-Lehner |
2- 23+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
22448c |
Isogeny class |
Conductor |
22448 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-97279934464 = -1 · 217 · 233 · 61 |
Discriminant |
Eigenvalues |
2- 2 3 1 0 2 -6 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6904,-219024] |
[a1,a2,a3,a4,a6] |
Generators |
[25988155830:1003188476394:17373979] |
Generators of the group modulo torsion |
j |
-8886464607097/23749984 |
j-invariant |
L |
9.3014080997143 |
L(r)(E,1)/r! |
Ω |
0.2618301153978 |
Real period |
R |
17.762296146841 |
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 |
2806c1 89792k1 |
Quadratic twists by: -4 8 |