Atkin-Lehner |
2+ 5- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5440h |
Isogeny class |
Conductor |
5440 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1024 |
Modular degree for the optimal curve |
Δ |
6963200 = 214 · 52 · 17 |
Discriminant |
Eigenvalues |
2+ 0 5- 0 0 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-572,5264] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:80:1] |
Generators of the group modulo torsion |
j |
1263257424/425 |
j-invariant |
L |
4.0389924216285 |
L(r)(E,1)/r! |
Ω |
2.3157962917859 |
Real period |
R |
0.87205261446242 |
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 |
5440v1 680a1 48960be1 27200a1 |
Quadratic twists by: -4 8 -3 5 |