Atkin-Lehner |
3- 5+ 7- 71- |
Signs for the Atkin-Lehner involutions |
Class |
7455d |
Isogeny class |
Conductor |
7455 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
207122265 = 35 · 5 · 74 · 71 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 4 6 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1814,-29869] |
[a1,a2,a3,a4,a6] |
j |
659616269778649/207122265 |
j-invariant |
L |
3.6580286753991 |
L(r)(E,1)/r! |
Ω |
0.73160573507983 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
119280y1 22365k1 37275f1 52185f1 |
Quadratic twists by: -4 -3 5 -7 |