Atkin-Lehner |
5- 11+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
52855f |
Isogeny class |
Conductor |
52855 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
17920 |
Modular degree for the optimal curve |
Δ |
-18023555 = -1 · 5 · 112 · 313 |
Discriminant |
Eigenvalues |
2 1 5- 4 11+ 2 -7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-10,201] |
[a1,a2,a3,a4,a6] |
Generators |
[516:1673:64] |
Generators of the group modulo torsion |
j |
-4096/605 |
j-invariant |
L |
17.246473788387 |
L(r)(E,1)/r! |
Ω |
1.7862275658519 |
Real period |
R |
2.4138125116376 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000027 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
52855l1 |
Quadratic twists by: -31 |