Atkin-Lehner |
2+ 3- 19- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
105792w |
Isogeny class |
Conductor |
105792 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
55296 |
Modular degree for the optimal curve |
Δ |
-745516224 = -1 · 26 · 36 · 19 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 3 -1 5 4 -7 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-109,1349] |
[a1,a2,a3,a4,a6] |
Generators |
[20:87:1] |
Generators of the group modulo torsion |
j |
-2258403328/11648691 |
j-invariant |
L |
11.499254815811 |
L(r)(E,1)/r! |
Ω |
1.3867700245491 |
Real period |
R |
0.69100948170426 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999868953 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105792be1 1653a1 |
Quadratic twists by: -4 8 |