Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610i |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
200074809015963750 = 2 · 3 · 54 · 1112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-376907,86267439] |
[a1,a2,a3,a4,a6] |
Generators |
[433:1901:1] |
Generators of the group modulo torsion |
j |
5921450764096952391481/200074809015963750 |
j-invariant |
L |
2.7244964274849 |
L(r)(E,1)/r! |
Ω |
0.31558677066899 |
Real period |
R |
0.71942612954206 |
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 |
44880cr4 16830ca3 28050dl4 61710bz4 |
Quadratic twists by: -4 -3 5 -11 |