Atkin-Lehner |
2+ 5+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
107800d |
Isogeny class |
Conductor |
107800 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
-33013750000 = -1 · 24 · 57 · 74 · 11 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11- -1 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,9437] |
[a1,a2,a3,a4,a6] |
j |
-12544/55 |
j-invariant |
L |
4.062068652056 |
L(r)(E,1)/r! |
Ω |
1.0155172531058 |
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 |
21560k1 107800s1 |
Quadratic twists by: 5 -7 |