Atkin-Lehner |
2- 17+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
3944a |
Isogeny class |
Conductor |
3944 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
26880 |
Modular degree for the optimal curve |
Δ |
-10247935893296128 = -1 · 210 · 177 · 293 |
Discriminant |
Eigenvalues |
2- 2 0 3 -4 -3 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-99968,13137884] |
[a1,a2,a3,a4,a6] |
Generators |
[166:1044:1] |
Generators of the group modulo torsion |
j |
-107897432486570500/10007749895797 |
j-invariant |
L |
4.9759659669969 |
L(r)(E,1)/r! |
Ω |
0.3974826362054 |
Real period |
R |
2.0864500373737 |
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 |
7888b1 31552d1 35496b1 98600f1 |
Quadratic twists by: -4 8 -3 5 |