Atkin-Lehner |
2- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
7120q |
Isogeny class |
Conductor |
7120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
933232640000 = 224 · 54 · 89 |
Discriminant |
Eigenvalues |
2- 2 5- -2 4 -2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-18200,950000] |
[a1,a2,a3,a4,a6] |
j |
162780279643801/227840000 |
j-invariant |
L |
3.5271918279559 |
L(r)(E,1)/r! |
Ω |
0.88179795698897 |
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 |
890e1 28480bg1 64080r1 35600bf1 |
Quadratic twists by: -4 8 -3 5 |