Atkin-Lehner |
2- 3- 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
5166bf |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
3600 |
Modular degree for the optimal curve |
Δ |
11254523616 = 25 · 36 · 7 · 413 |
Discriminant |
Eigenvalues |
2- 3- 3 7- 0 2 3 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-716,-5137] |
[a1,a2,a3,a4,a6] |
j |
55611739513/15438304 |
j-invariant |
L |
4.7118625658862 |
L(r)(E,1)/r! |
Ω |
0.94237251317723 |
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 |
41328bf1 574f1 129150p1 36162dd1 |
Quadratic twists by: -4 -3 5 -7 |