Atkin-Lehner |
2+ 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
68800bt |
Isogeny class |
Conductor |
68800 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
49152 |
Modular degree for the optimal curve |
Δ |
-37867520000 = -1 · 215 · 54 · 432 |
Discriminant |
Eigenvalues |
2+ 1 5- -2 -1 -2 -3 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4833,128063] |
[a1,a2,a3,a4,a6] |
Generators |
[921:1720:27] [-53:488:1] |
Generators of the group modulo torsion |
j |
-609725000/1849 |
j-invariant |
L |
11.162271513687 |
L(r)(E,1)/r! |
Ω |
1.1578944926724 |
Real period |
R |
0.40167273386867 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800cg1 34400r1 68800be1 |
Quadratic twists by: -4 8 5 |