Atkin-Lehner |
3- 5+ 7- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
105105bt |
Isogeny class |
Conductor |
105105 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
1551520267171875 = 32 · 56 · 73 · 114 · 133 |
Discriminant |
Eigenvalues |
1 3- 5+ 7- 11+ 13- 4 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-88639,-9986413] |
[a1,a2,a3,a4,a6] |
j |
224541744478986943/4523382703125 |
j-invariant |
L |
3.3243517277882 |
L(r)(E,1)/r! |
Ω |
0.27702928761965 |
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 |
105105x2 |
Quadratic twists by: -7 |