Atkin-Lehner |
2- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
47320ba |
Isogeny class |
Conductor |
47320 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
Δ |
2153060000000000 = 211 · 510 · 72 · 133 |
Discriminant |
Eigenvalues |
2- 2 5- 7+ 4 13- 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40720,2253900] |
[a1,a2,a3,a4,a6] |
j |
1659578027546/478515625 |
j-invariant |
L |
4.3083055794625 |
L(r)(E,1)/r! |
Ω |
0.43083055792644 |
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 |
94640bl2 47320j2 |
Quadratic twists by: -4 13 |