Atkin-Lehner |
2+ 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
11638n |
Isogeny class |
Conductor |
11638 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2304 |
Modular degree for the optimal curve |
Δ |
-512072 = -1 · 23 · 112 · 232 |
Discriminant |
Eigenvalues |
2+ -3 0 0 11- 2 1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-7,37] |
[a1,a2,a3,a4,a6] |
Generators |
[1:5:1] |
Generators of the group modulo torsion |
j |
-77625/968 |
j-invariant |
L |
2.1236734398052 |
L(r)(E,1)/r! |
Ω |
2.4925177525837 |
Real period |
R |
0.42600969192773 |
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 |
93104t1 104742bk1 128018bm1 11638g1 |
Quadratic twists by: -4 -3 -11 -23 |