Atkin-Lehner |
2+ 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192i |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-14027525568 = -1 · 26 · 34 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,82,5664] |
[a1,a2,a3,a4,a6] |
Generators |
[16:104:1] |
Generators of the group modulo torsion |
j |
8000/1863 |
j-invariant |
L |
6.14357661276 |
L(r)(E,1)/r! |
Ω |
0.96923173364066 |
Real period |
R |
3.1693022307289 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000035352 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192r1 2208g1 |
Quadratic twists by: -4 -7 |