Atkin-Lehner |
2- 3+ 5+ 7+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
54390bk |
Isogeny class |
Conductor |
54390 |
Conductor |
∏ cp |
246 |
Product of Tamagawa factors cp |
deg |
2038848 |
Modular degree for the optimal curve |
Δ |
-3.6628992928776E+20 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 1 -3 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,1788744,1682169] |
[a1,a2,a3,a4,a6] |
Generators |
[69:11165:1] |
Generators of the group modulo torsion |
j |
263618634987871768031/152557238353920000 |
j-invariant |
L |
7.296569328384 |
L(r)(E,1)/r! |
Ω |
0.1014094488854 |
Real period |
R |
0.29248606766626 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998976 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
54390de1 |
Quadratic twists by: -7 |