Atkin-Lehner |
5+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
5555a |
Isogeny class |
Conductor |
5555 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1440 |
Modular degree for the optimal curve |
Δ |
-17359375 = -1 · 56 · 11 · 101 |
Discriminant |
Eigenvalues |
1 -2 5+ -4 11- 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-19,201] |
[a1,a2,a3,a4,a6] |
Generators |
[9:23:1] |
Generators of the group modulo torsion |
j |
-702595369/17359375 |
j-invariant |
L |
2.3645486951623 |
L(r)(E,1)/r! |
Ω |
1.8344851562946 |
Real period |
R |
2.5778880652689 |
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 |
88880h1 49995g1 27775d1 61105a1 |
Quadratic twists by: -4 -3 5 -11 |