Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610a |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
1402500 = 22 · 3 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-11968,498988] |
[a1,a2,a3,a4,a6] |
Generators |
[63:-28:1] |
Generators of the group modulo torsion |
j |
189602977175292169/1402500 |
j-invariant |
L |
2.1000086042182 |
L(r)(E,1)/r! |
Ω |
1.8619035753531 |
Real period |
R |
1.1278825778182 |
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 |
44880ch4 16830cy3 28050db4 61710bt4 |
Quadratic twists by: -4 -3 5 -11 |