Atkin-Lehner |
2- 3- 37+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
55278g |
Isogeny class |
Conductor |
55278 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
1459200 |
Modular degree for the optimal curve |
Δ |
2.0945255116021E+19 |
Discriminant |
Eigenvalues |
2- 3- 1 4 6 -3 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-704327,57434447] |
[a1,a2,a3,a4,a6] |
j |
53005217047662725929/28731488499342576 |
j-invariant |
L |
7.5197846758821 |
L(r)(E,1)/r! |
Ω |
0.1879946168958 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
18426a1 |
Quadratic twists by: -3 |