Atkin-Lehner |
2- 3+ 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680bl |
Isogeny class |
Conductor |
43680 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18869760000 = 212 · 34 · 54 · 7 · 13 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 4 13- -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-39345,3017025] |
[a1,a2,a3,a4,a6] |
j |
1644536250830656/4606875 |
j-invariant |
L |
2.1249177839794 |
L(r)(E,1)/r! |
Ω |
1.0624588919858 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
43680y4 87360by1 |
Quadratic twists by: -4 8 |