Atkin-Lehner |
2+ 3- 5+ 11+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
61050y |
Isogeny class |
Conductor |
61050 |
Conductor |
∏ cp |
52 |
Product of Tamagawa factors cp |
deg |
299520 |
Modular degree for the optimal curve |
Δ |
405555913125000 = 23 · 313 · 57 · 11 · 37 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11+ 3 5 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-30026,-1755052] |
[a1,a2,a3,a4,a6] |
Generators |
[-78:376:1] |
Generators of the group modulo torsion |
j |
191591101730449/25955578440 |
j-invariant |
L |
5.5585713397941 |
L(r)(E,1)/r! |
Ω |
0.36593671899562 |
Real period |
R |
0.29211499460432 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999993845 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12210r1 |
Quadratic twists by: 5 |