Atkin-Lehner |
2+ 7+ 11- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
38192c |
Isogeny class |
Conductor |
38192 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9883669182464 = 211 · 73 · 114 · 312 |
Discriminant |
Eigenvalues |
2+ 2 -2 7+ 11- 6 8 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-13384,580944] |
[a1,a2,a3,a4,a6] |
j |
129474425323154/4826010343 |
j-invariant |
L |
2.8800194189691 |
L(r)(E,1)/r! |
Ω |
0.72000485473674 |
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 |
19096a2 |
Quadratic twists by: -4 |