Atkin-Lehner |
2- 5+ 11+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116380a |
Isogeny class |
Conductor |
116380 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6842880 |
Modular degree for the optimal curve |
Δ |
-3.4053042505785E+22 |
Discriminant |
Eigenvalues |
2- -1 5+ 0 11+ 3 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-16764186,27876856261] |
[a1,a2,a3,a4,a6] |
Generators |
[-510279:246315625:1331] |
Generators of the group modulo torsion |
j |
-219980483082985216/14377021484375 |
j-invariant |
L |
5.5199435371296 |
L(r)(E,1)/r! |
Ω |
0.11454328402887 |
Real period |
R |
6.0238620714731 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999701115 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
5060f1 |
Quadratic twists by: -23 |