Atkin-Lehner |
2+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
53792a |
Isogeny class |
Conductor |
53792 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
209920 |
Modular degree for the optimal curve |
Δ |
20952443801213504 = 26 · 419 |
Discriminant |
Eigenvalues |
2+ 0 -2 0 0 4 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-68921,0] |
[a1,a2,a3,a4,a6] |
Generators |
[-3082004:-63089150:24389] |
Generators of the group modulo torsion |
j |
1728 |
j-invariant |
L |
4.0437939087687 |
L(r)(E,1)/r! |
Ω |
0.32365649253392 |
Real period |
R |
12.49409173632 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999859 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
53792a1 107584g2 53792b1 |
Quadratic twists by: -4 8 41 |