Atkin-Lehner |
2- 3- 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610be |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
88124751829125000 = 23 · 34 · 56 · 116 · 173 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 11+ 2 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-178426,-25264420] |
[a1,a2,a3,a4,a6] |
Generators |
[-262:2006:1] |
Generators of the group modulo torsion |
j |
628200507126935410849/88124751829125000 |
j-invariant |
L |
5.8803292339245 |
L(r)(E,1)/r! |
Ω |
0.23445886471998 |
Real period |
R |
2.0900358651213 |
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 |
44880bi4 16830bh4 28050h4 61710bd4 |
Quadratic twists by: -4 -3 5 -11 |