Atkin-Lehner |
3+ 5+ 7+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
128205c |
Isogeny class |
Conductor |
128205 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
21504 |
Modular degree for the optimal curve |
Δ |
2692305 = 33 · 5 · 72 · 11 · 37 |
Discriminant |
Eigenvalues |
1 3+ 5+ 7+ 11- 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-120,531] |
[a1,a2,a3,a4,a6] |
Generators |
[6:165:8] |
Generators of the group modulo torsion |
j |
7111117467/99715 |
j-invariant |
L |
5.4778147496286 |
L(r)(E,1)/r! |
Ω |
2.5642246978882 |
Real period |
R |
2.1362460090919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999949524 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
128205h1 |
Quadratic twists by: -3 |