Atkin-Lehner |
2- 19- 43- |
Signs for the Atkin-Lehner involutions |
Class |
62092b |
Isogeny class |
Conductor |
62092 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
85536 |
Modular degree for the optimal curve |
Δ |
-517881058048 = -1 · 28 · 196 · 43 |
Discriminant |
Eigenvalues |
2- 2 0 -4 -3 1 -3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4813,-131511] |
[a1,a2,a3,a4,a6] |
Generators |
[96:531:1] [4170:94221:8] |
Generators of the group modulo torsion |
j |
-1024000/43 |
j-invariant |
L |
12.386912648926 |
L(r)(E,1)/r! |
Ω |
0.28588530441142 |
Real period |
R |
21.664129736261 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
172a1 |
Quadratic twists by: -19 |