Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610n |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
796539777000000 = 26 · 3 · 56 · 11 · 176 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 2 11- -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23844,403426] |
[a1,a2,a3,a4,a6] |
Generators |
[-789:28381:27] |
Generators of the group modulo torsion |
j |
1499114720492202169/796539777000000 |
j-invariant |
L |
3.4461483901171 |
L(r)(E,1)/r! |
Ω |
0.44093646039504 |
Real period |
R |
3.9077607542702 |
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 |
44880bc3 16830cp3 28050cj3 61710co3 |
Quadratic twists by: -4 -3 5 -11 |