Atkin-Lehner |
2+ 3- 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
83520bi |
Isogeny class |
Conductor |
83520 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
409060936581120 = 216 · 316 · 5 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 2 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-25068,1177648] |
[a1,a2,a3,a4,a6] |
Generators |
[222:2560:1] |
Generators of the group modulo torsion |
j |
36464923876/8562105 |
j-invariant |
L |
7.601625750753 |
L(r)(E,1)/r! |
Ω |
0.50037175070383 |
Real period |
R |
3.7979890669704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999952341 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
83520fh1 10440i1 27840by1 |
Quadratic twists by: -4 8 -3 |