Atkin-Lehner |
2+ 3+ 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664o |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-556063076352 = -1 · 212 · 3 · 72 · 314 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 2 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8953,331033] |
[a1,a2,a3,a4,a6] |
j |
-19378404856000/135757587 |
j-invariant |
L |
1.8542502948184 |
L(r)(E,1)/r! |
Ω |
0.92712514748264 |
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 |
41664bn2 20832o1 124992ck2 |
Quadratic twists by: -4 8 -3 |