Atkin-Lehner |
2+ 3+ 5+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610a |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
125888400 = 24 · 32 · 52 · 112 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 11+ -6 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-748,7552] |
[a1,a2,a3,a4,a6] |
Generators |
[1:82:1] |
Generators of the group modulo torsion |
j |
46380496070089/125888400 |
j-invariant |
L |
2.1000086042182 |
L(r)(E,1)/r! |
Ω |
1.8619035753531 |
Real period |
R |
0.56394128890911 |
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 |
44880ch2 16830cy2 28050db2 61710bt2 |
Quadratic twists by: -4 -3 5 -11 |