Atkin-Lehner |
2+ 5+ 79+ |
Signs for the Atkin-Lehner involutions |
Class |
63200a |
Isogeny class |
Conductor |
63200 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
5056000000 = 212 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 1 5+ 1 -6 5 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-433,-737] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:41:1] |
Generators of the group modulo torsion |
j |
140608/79 |
j-invariant |
L |
7.0028398302312 |
L(r)(E,1)/r! |
Ω |
1.125597871524 |
Real period |
R |
3.1107200925982 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999432 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63200h1 126400bk1 2528b1 |
Quadratic twists by: -4 8 5 |