Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
2610k |
Isogeny class |
Conductor |
2610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-30968261718750 = -1 · 2 · 37 · 512 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 0 -6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,5422,217887] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:2235:8] |
Generators of the group modulo torsion |
j |
24185207275559/42480468750 |
j-invariant |
L |
4.3785011756837 |
L(r)(E,1)/r! |
Ω |
0.45237934596749 |
Real period |
R |
4.8394132211314 |
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 |
20880br4 83520ct3 870a4 13050g4 |
Quadratic twists by: -4 8 -3 5 |