Atkin-Lehner |
2- 11- 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
76912l |
Isogeny class |
Conductor |
76912 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-16074608 = -1 · 24 · 112 · 192 · 23 |
Discriminant |
Eigenvalues |
2- 1 -2 2 11- -1 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-54,-265] |
[a1,a2,a3,a4,a6] |
Generators |
[19:77:1] |
Generators of the group modulo torsion |
j |
-1108671232/1004663 |
j-invariant |
L |
6.7154889726632 |
L(r)(E,1)/r! |
Ω |
0.84740661079509 |
Real period |
R |
1.9811885124505 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002882 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
19228a1 |
Quadratic twists by: -4 |