Atkin-Lehner |
2+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11704b |
Isogeny class |
Conductor |
11704 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
6400 |
Modular degree for the optimal curve |
Δ |
-2440798976 = -1 · 28 · 74 · 11 · 192 |
Discriminant |
Eigenvalues |
2+ -1 -3 7- 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,303,1141] |
[a1,a2,a3,a4,a6] |
Generators |
[-3:14:1] [1:38:1] |
Generators of the group modulo torsion |
j |
11977812992/9534371 |
j-invariant |
L |
4.7172410839812 |
L(r)(E,1)/r! |
Ω |
0.93339780424441 |
Real period |
R |
0.15793243052864 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
23408b1 93632l1 105336by1 81928d1 |
Quadratic twists by: -4 8 -3 -7 |