Atkin-Lehner |
2- 3- 11- 73- |
Signs for the Atkin-Lehner involutions |
Class |
38544r |
Isogeny class |
Conductor |
38544 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
187556954112 = 218 · 34 · 112 · 73 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 11- 4 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2560,-46156] |
[a1,a2,a3,a4,a6] |
Generators |
[-28:66:1] |
Generators of the group modulo torsion |
j |
453161802241/45790272 |
j-invariant |
L |
4.564026918621 |
L(r)(E,1)/r! |
Ω |
0.67553083369358 |
Real period |
R |
0.84452601772195 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4818b1 115632z1 |
Quadratic twists by: -4 -3 |