Atkin-Lehner |
2- 3- 5- 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520gc |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-844771899801600 = -1 · 216 · 36 · 52 · 294 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 0 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,9108,1357776] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:900:1] |
Generators of the group modulo torsion |
j |
1748981916/17682025 |
j-invariant |
L |
7.5269612250428 |
L(r)(E,1)/r! |
Ω |
0.3681074021659 |
Real period |
R |
2.5559664038625 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001926 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520cr3 20880h4 9280m4 |
Quadratic twists by: -4 8 -3 |