Atkin-Lehner |
3+ 5- 11+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
4785a |
Isogeny class |
Conductor |
4785 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
4818878173828125 = 32 · 516 · 112 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 11+ -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-176570,-28435318] |
[a1,a2,a3,a4,a6] |
Generators |
[-228:301:1] |
Generators of the group modulo torsion |
j |
608799962340333470881/4818878173828125 |
j-invariant |
L |
2.0791178087652 |
L(r)(E,1)/r! |
Ω |
0.23301163649844 |
Real period |
R |
0.55767542342758 |
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 |
76560cj6 14355d5 23925s6 52635d6 |
Quadratic twists by: -4 -3 5 -11 |