Atkin-Lehner |
2- 3- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
35490cy |
Isogeny class |
Conductor |
35490 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
43104611072250000 = 24 · 36 · 56 · 72 · 136 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ 0 13+ -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-97601,6153081] |
[a1,a2,a3,a4,a6] |
Generators |
[-272:3685:1] |
Generators of the group modulo torsion |
j |
21302308926361/8930250000 |
j-invariant |
L |
9.1991825542841 |
L(r)(E,1)/r! |
Ω |
0.32634761919767 |
Real period |
R |
1.1745122395484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
106470ce2 210b2 |
Quadratic twists by: -3 13 |