Atkin-Lehner |
2+ 3- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
22704k |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
42 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-489651174144 = -1 · 28 · 37 · 11 · 433 |
Discriminant |
Eigenvalues |
2+ 3- -1 -3 11+ -4 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,44,-33652] |
[a1,a2,a3,a4,a6] |
Generators |
[134:1548:1] |
Generators of the group modulo torsion |
j |
35969456/1912699899 |
j-invariant |
L |
4.9800666960069 |
L(r)(E,1)/r! |
Ω |
0.4292318261146 |
Real period |
R |
0.27624469891927 |
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 |
11352b1 90816bx1 68112t1 |
Quadratic twists by: -4 8 -3 |