Atkin-Lehner |
2+ 3+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
108192g |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
-1136229571008 = -1 · 26 · 38 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ -4 7- -6 -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2270,66816] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:328:1] [-9:294:1] |
Generators of the group modulo torsion |
j |
-171879616/150903 |
j-invariant |
L |
6.3812482571988 |
L(r)(E,1)/r! |
Ω |
0.79463907439341 |
Real period |
R |
4.0151865541698 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000005256 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192x1 2208f1 |
Quadratic twists by: -4 -7 |