Atkin-Lehner |
3+ 5- 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
43365j |
Isogeny class |
Conductor |
43365 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
78336 |
Modular degree for the optimal curve |
Δ |
127546222125 = 3 · 53 · 78 · 59 |
Discriminant |
Eigenvalues |
2 3+ 5- 7- 1 1 -7 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-1290,-4369] |
[a1,a2,a3,a4,a6] |
j |
2019487744/1084125 |
j-invariant |
L |
5.0859653213491 |
L(r)(E,1)/r! |
Ω |
0.84766088689151 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6195f1 |
Quadratic twists by: -7 |