Atkin-Lehner |
2- 7- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
5474f |
Isogeny class |
Conductor |
5474 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
137331712 = 210 · 73 · 17 · 23 |
Discriminant |
Eigenvalues |
2- 0 0 7- 4 -4 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2805,57869] |
[a1,a2,a3,a4,a6] |
Generators |
[33:4:1] |
Generators of the group modulo torsion |
j |
2439928775390625/137331712 |
j-invariant |
L |
5.7223122168287 |
L(r)(E,1)/r! |
Ω |
1.7429264297875 |
Real period |
R |
0.43775511645484 |
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 |
43792f1 49266x1 38318r1 93058j1 |
Quadratic twists by: -4 -3 -7 17 |