Atkin-Lehner |
2+ 17+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
27472a |
Isogeny class |
Conductor |
27472 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5760 |
Modular degree for the optimal curve |
Δ |
177579008 = 210 · 17 · 1012 |
Discriminant |
Eigenvalues |
2+ 0 0 2 0 2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-275,1634] |
[a1,a2,a3,a4,a6] |
Generators |
[13:16:1] |
Generators of the group modulo torsion |
j |
2246062500/173417 |
j-invariant |
L |
5.379153476428 |
L(r)(E,1)/r! |
Ω |
1.7641065301043 |
Real period |
R |
1.5246112932052 |
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 |
13736c1 109888q1 |
Quadratic twists by: -4 8 |