Atkin-Lehner |
2+ 3- 11+ 41- |
Signs for the Atkin-Lehner involutions |
Class |
129888i |
Isogeny class |
Conductor |
129888 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28672 |
Modular degree for the optimal curve |
Δ |
-21041856 = -1 · 26 · 36 · 11 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 1 -5 11+ 2 -5 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,63,108] |
[a1,a2,a3,a4,a6] |
Generators |
[3:18:1] |
Generators of the group modulo torsion |
j |
592704/451 |
j-invariant |
L |
4.9526447284909 |
L(r)(E,1)/r! |
Ω |
1.3794600626148 |
Real period |
R |
0.89756942008302 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000110599 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
129888bl1 14432f1 |
Quadratic twists by: -4 -3 |