Atkin-Lehner |
7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
5929c |
Isogeny class |
Conductor |
5929 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-112339662867971 = -1 · 78 · 117 |
Discriminant |
Eigenvalues |
0 3 1 7- 11- -4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,11858,114133] |
[a1,a2,a3,a4,a6] |
Generators |
[-231:2951:27] |
Generators of the group modulo torsion |
j |
884736/539 |
j-invariant |
L |
5.7152332132687 |
L(r)(E,1)/r! |
Ω |
0.36464892851216 |
Real period |
R |
1.9591560424255 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94864di1 53361z1 847b1 539b1 |
Quadratic twists by: -4 -3 -7 -11 |