Atkin-Lehner |
2+ 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
4640a |
Isogeny class |
Conductor |
4640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-86118400 = -1 · 212 · 52 · 292 |
Discriminant |
Eigenvalues |
2+ 0 5+ 2 -2 2 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-188,1088] |
[a1,a2,a3,a4,a6] |
Generators |
[4:20:1] |
Generators of the group modulo torsion |
j |
-179406144/21025 |
j-invariant |
L |
3.5615214122733 |
L(r)(E,1)/r! |
Ω |
1.8618524656697 |
Real period |
R |
0.95644565773696 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4640b2 9280p1 41760bm2 23200f2 |
Quadratic twists by: -4 8 -3 5 |