Atkin-Lehner |
2+ 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
9280i |
Isogeny class |
Conductor |
9280 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
2048 |
Modular degree for the optimal curve |
Δ |
38010880 = 218 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 0 5- -2 6 -2 -2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-172,816] |
[a1,a2,a3,a4,a6] |
Generators |
[5:9:1] |
Generators of the group modulo torsion |
j |
2146689/145 |
j-invariant |
L |
4.4095834383704 |
L(r)(E,1)/r! |
Ω |
2.0122770879537 |
Real period |
R |
2.1913400817253 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9280r1 145a1 83520ba1 46400k1 |
Quadratic twists by: -4 8 -3 5 |