Atkin-Lehner |
2+ 7+ 19- 31- |
Signs for the Atkin-Lehner involutions |
Class |
57722c |
Isogeny class |
Conductor |
57722 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
272160 |
Modular degree for the optimal curve |
Δ |
-1792856047980032 = -1 · 29 · 74 · 196 · 31 |
Discriminant |
Eigenvalues |
2+ 1 0 7+ 0 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-75486,8232144] |
[a1,a2,a3,a4,a6] |
Generators |
[-29838:879577:216] |
Generators of the group modulo torsion |
j |
-19811735437797625/746712223232 |
j-invariant |
L |
5.3535693093412 |
L(r)(E,1)/r! |
Ω |
0.46716333064149 |
Real period |
R |
5.7298689326421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998443 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
57722e1 |
Quadratic twists by: -7 |