Atkin-Lehner |
2+ 5- 43- |
Signs for the Atkin-Lehner involutions |
Class |
68800cg |
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 |
[157:-1720:1] |
Generators of the group modulo torsion |
j |
-609725000/1849 |
j-invariant |
L |
5.2840810790196 |
L(r)(E,1)/r! |
Ω |
0.28623912993324 |
Real period |
R |
0.76918220442166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
68800bt1 34400bk1 68800h1 |
Quadratic twists by: -4 8 5 |