Atkin-Lehner |
2- 5- 79+ |
Signs for the Atkin-Lehner involutions |
Class |
63200s |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
66560 |
Modular degree for the optimal curve |
Δ |
780125000000 = 26 · 59 · 792 |
Discriminant |
Eigenvalues |
2- -2 5- -2 -4 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3458,64588] |
[a1,a2,a3,a4,a6] |
Generators |
[12:158:1] |
Generators of the group modulo torsion |
j |
36594368/6241 |
j-invariant |
L |
2.4295367081114 |
L(r)(E,1)/r! |
Ω |
0.85531931111534 |
Real period |
R |
1.4202512887942 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000935 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63200v1 126400co2 63200j1 |
Quadratic twists by: -4 8 5 |