Atkin-Lehner |
5- 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
42955j |
Isogeny class |
Conductor |
42955 |
Conductor |
∏ cp |
5 |
Product of Tamagawa factors cp |
deg |
10560 |
Modular degree for the optimal curve |
Δ |
-26846875 = -1 · 55 · 112 · 71 |
Discriminant |
Eigenvalues |
-2 0 5- 1 11- 1 -1 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-77,360] |
[a1,a2,a3,a4,a6] |
Generators |
[3:-13:1] |
Generators of the group modulo torsion |
j |
-417263616/221875 |
j-invariant |
L |
2.8754824195001 |
L(r)(E,1)/r! |
Ω |
1.9631427440183 |
Real period |
R |
0.29294685047806 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000018 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
42955h1 |
Quadratic twists by: -11 |