Atkin-Lehner |
2+ 19- 29- |
Signs for the Atkin-Lehner involutions |
Class |
4408b |
Isogeny class |
Conductor |
4408 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
2688 |
Modular degree for the optimal curve |
Δ |
-9015735296 = -1 · 210 · 192 · 293 |
Discriminant |
Eigenvalues |
2+ 1 -3 0 5 1 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-712,-8864] |
[a1,a2,a3,a4,a6] |
Generators |
[36:116:1] |
Generators of the group modulo torsion |
j |
-39036741412/8804429 |
j-invariant |
L |
3.6864116760035 |
L(r)(E,1)/r! |
Ω |
0.45657966254588 |
Real period |
R |
0.67283104833743 |
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 |
8816a1 35264d1 39672m1 110200g1 |
Quadratic twists by: -4 8 -3 5 |