Atkin-Lehner |
2- 19+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
52022l |
Isogeny class |
Conductor |
52022 |
Conductor |
∏ cp |
68 |
Product of Tamagawa factors cp |
deg |
1674432 |
Modular degree for the optimal curve |
Δ |
8.5345926546096E+19 |
Discriminant |
Eigenvalues |
2- 2 1 0 -1 6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2859185,-1808179121] |
[a1,a2,a3,a4,a6] |
j |
1007488615738249/33263845376 |
j-invariant |
L |
7.910916588267 |
L(r)(E,1)/r! |
Ω |
0.11633700864819 |
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 |
1406c1 |
Quadratic twists by: 37 |