Atkin-Lehner |
2+ 3- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
5610o |
Isogeny class |
Conductor |
5610 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
73440 |
Modular degree for the optimal curve |
Δ |
-316171526414008320 = -1 · 234 · 39 · 5 · 11 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- 1 17+ -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-91939,-29111074] |
[a1,a2,a3,a4,a6] |
Generators |
[3391:194912:1] |
Generators of the group modulo torsion |
j |
-85944135790429956649/316171526414008320 |
j-invariant |
L |
2.9896782741901 |
L(r)(E,1)/r! |
Ω |
0.12557751587201 |
Real period |
R |
1.3226351572704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
44880bd1 16830cq1 28050cl1 61710cp1 |
Quadratic twists by: -4 -3 5 -11 |