Atkin-Lehner |
2- 3+ 5+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
47700b |
Isogeny class |
Conductor |
47700 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
43776 |
Modular degree for the optimal curve |
Δ |
-28620000000 = -1 · 28 · 33 · 57 · 53 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -4 2 4 -1 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1800,30500] |
[a1,a2,a3,a4,a6] |
Generators |
[40:150:1] |
Generators of the group modulo torsion |
j |
-5971968/265 |
j-invariant |
L |
5.0424114904716 |
L(r)(E,1)/r! |
Ω |
1.1699236150107 |
Real period |
R |
0.17958478320641 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999952 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
47700a1 9540b1 |
Quadratic twists by: -3 5 |