Atkin-Lehner |
2+ 3- 5- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
43680y |
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] |
Generators |
[285:3000:1] |
Generators of the group modulo torsion |
j |
1644536250830656/4606875 |
j-invariant |
L |
7.7682588401537 |
L(r)(E,1)/r! |
Ω |
0.33898175234978 |
Real period |
R |
2.864556420183 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
43680bl4 87360p1 |
Quadratic twists by: -4 8 |