Atkin-Lehner |
2- 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520fi |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
6.69449529297E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 6 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-18917868,-31425004208] |
[a1,a2,a3,a4,a6] |
j |
3918075806073018169/35030827008000 |
j-invariant |
L |
2.6074639182502 |
L(r)(E,1)/r! |
Ω |
0.072429554488653 |
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 |
83520bm3 20880ck3 27840eb3 |
Quadratic twists by: -4 8 -3 |