Atkin-Lehner |
2+ 3+ 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610i |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
Δ |
7199734626562500 = 22 · 32 · 58 · 116 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11- 2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-58157,-3556311] |
[a1,a2,a3,a4,a6] |
Generators |
[-187:1001:1] |
Generators of the group modulo torsion |
j |
21754112339458491481/7199734626562500 |
j-invariant |
L |
2.7244964274849 |
L(r)(E,1)/r! |
Ω |
0.31558677066899 |
Real period |
R |
0.35971306477103 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
44880cr2 16830ca2 28050dl2 61710bz2 |
Quadratic twists by: -4 -3 5 -11 |