Atkin-Lehner |
2- 3+ 7- 19+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
55062x |
Isogeny class |
Conductor |
55062 |
Conductor |
∏ cp |
320 |
Product of Tamagawa factors cp |
deg |
2334720 |
Modular degree for the optimal curve |
Δ |
6.1778948795102E+20 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 -4 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3682289,-2441789279] |
[a1,a2,a3,a4,a6] |
Generators |
[-1357:8084:1] |
Generators of the group modulo torsion |
j |
280534269150258120171/31386957676727296 |
j-invariant |
L |
11.604828428401 |
L(r)(E,1)/r! |
Ω |
0.1097784728756 |
Real period |
R |
1.321391631308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999611 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
55062c1 |
Quadratic twists by: -3 |