Atkin-Lehner |
3+ 5+ 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
39585f |
Isogeny class |
Conductor |
39585 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
234817437364965 = 32 · 5 · 712 · 13 · 29 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-92931,-10917852] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:183:1] |
Generators of the group modulo torsion |
j |
88757658289294062769/234817437364965 |
j-invariant |
L |
1.9635902748207 |
L(r)(E,1)/r! |
Ω |
0.2734818012639 |
Real period |
R |
1.1966611463391 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118755o4 |
Quadratic twists by: -3 |