Atkin-Lehner |
2- 3- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
22326k |
Isogeny class |
Conductor |
22326 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
178560 |
Modular degree for the optimal curve |
Δ |
-9164238109837236 = -1 · 22 · 36 · 617 |
Discriminant |
Eigenvalues |
2- 3- -3 1 3 -1 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-16822,4680344] |
[a1,a2,a3,a4,a6] |
Generators |
[1652:66152:1] |
Generators of the group modulo torsion |
j |
-10218313/177876 |
j-invariant |
L |
8.5807429876515 |
L(r)(E,1)/r! |
Ω |
0.34623313771296 |
Real period |
R |
0.51631533622184 |
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 |
66978g1 366f1 |
Quadratic twists by: -3 61 |