Atkin-Lehner |
2- 3+ 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
22704s |
Isogeny class |
Conductor |
22704 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
68112 = 24 · 32 · 11 · 43 |
Discriminant |
Eigenvalues |
2- 3+ -2 1 11+ 0 -4 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-34,-65] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:1:1] [13:39:1] |
Generators of the group modulo torsion |
j |
279738112/4257 |
j-invariant |
L |
6.2289320862466 |
L(r)(E,1)/r! |
Ω |
1.97410831969 |
Real period |
R |
1.5776571184366 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999981 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5676i1 90816ct1 68112cc1 |
Quadratic twists by: -4 8 -3 |