Atkin-Lehner |
2- 3+ 23+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
22908a |
Isogeny class |
Conductor |
22908 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
8448 |
Modular degree for the optimal curve |
Δ |
39585024 = 28 · 34 · 23 · 83 |
Discriminant |
Eigenvalues |
2- 3+ -3 -4 0 2 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-557,5241] |
[a1,a2,a3,a4,a6] |
Generators |
[-25:54:1] [11:18:1] |
Generators of the group modulo torsion |
j |
74787463168/154629 |
j-invariant |
L |
5.1936608409981 |
L(r)(E,1)/r! |
Ω |
2.0469376782786 |
Real period |
R |
0.42288055437731 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
91632y1 68724i1 |
Quadratic twists by: -4 -3 |