Atkin-Lehner |
2+ 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
5166s |
Isogeny class |
Conductor |
5166 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
16957753458408 = 23 · 37 · 73 · 414 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 2 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-395451,-95617571] |
[a1,a2,a3,a4,a6] |
j |
9381555148655972017/23261664552 |
j-invariant |
L |
2.2845867008582 |
L(r)(E,1)/r! |
Ω |
0.19038222507152 |
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 |
41328bn4 1722m4 129150cv4 36162s4 |
Quadratic twists by: -4 -3 5 -7 |