Atkin-Lehner |
2+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
127072k |
Isogeny class |
Conductor |
127072 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
209664 |
Modular degree for the optimal curve |
Δ |
-2119699214336 = -1 · 212 · 11 · 196 |
Discriminant |
Eigenvalues |
2+ -1 -3 -4 11- 2 -8 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,963,-69419] |
[a1,a2,a3,a4,a6] |
Generators |
[127:1444:1] |
Generators of the group modulo torsion |
j |
512/11 |
j-invariant |
L |
1.6872106166296 |
L(r)(E,1)/r! |
Ω |
0.40041865601111 |
Real period |
R |
1.0534041185746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999828384 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
127072r1 352b1 |
Quadratic twists by: -4 -19 |