Atkin-Lehner |
2+ 5- 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
8680g |
Isogeny class |
Conductor |
8680 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
2112 |
Modular degree for the optimal curve |
Δ |
55552000 = 211 · 53 · 7 · 31 |
Discriminant |
Eigenvalues |
2+ 1 5- 7+ 5 1 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-120,-400] |
[a1,a2,a3,a4,a6] |
Generators |
[-5:10:1] |
Generators of the group modulo torsion |
j |
94091762/27125 |
j-invariant |
L |
5.3334267032956 |
L(r)(E,1)/r! |
Ω |
1.473180104412 |
Real period |
R |
1.2067831324725 |
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 |
17360o1 69440k1 78120ba1 43400s1 |
Quadratic twists by: -4 8 -3 5 |