Atkin-Lehner |
3+ 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
72897a |
Isogeny class |
Conductor |
72897 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
4261099274061003 = 33 · 114 · 476 |
Discriminant |
Eigenvalues |
1 3+ 2 4 11+ 2 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-323664,-70939863] |
[a1,a2,a3,a4,a6] |
j |
347873904937/395307 |
j-invariant |
L |
3.6031132939157 |
L(r)(E,1)/r! |
Ω |
0.2001729606758 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33a3 |
Quadratic twists by: -47 |