Atkin-Lehner |
2+ 3- 5- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
5610v |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
448014600 = 23 · 32 · 52 · 114 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 11- -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-688,6806] |
[a1,a2,a3,a4,a6] |
Generators |
[0:82:1] |
Generators of the group modulo torsion |
j |
35940267099001/448014600 |
j-invariant |
L |
3.849411876452 |
L(r)(E,1)/r! |
Ω |
1.6755511898111 |
Real period |
R |
0.57435008549128 |
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 |
44880bv2 16830by2 28050ce2 61710cw2 |
Quadratic twists by: -4 -3 5 -11 |