Atkin-Lehner |
2+ 5+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
8480a |
Isogeny class |
Conductor |
8480 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11776 |
Modular degree for the optimal curve |
Δ |
2120000 = 26 · 54 · 53 |
Discriminant |
Eigenvalues |
2+ 2 5+ 0 0 6 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-44166,-3557884] |
[a1,a2,a3,a4,a6] |
Generators |
[1276847040:-474108006086:9261] |
Generators of the group modulo torsion |
j |
148873629225439936/33125 |
j-invariant |
L |
5.7887175984954 |
L(r)(E,1)/r! |
Ω |
0.32932653004303 |
Real period |
R |
17.577440838851 |
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 |
8480d1 16960i2 76320bu1 42400l1 |
Quadratic twists by: -4 8 -3 5 |