Atkin-Lehner |
2+ 3+ 5+ 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
77520d |
Isogeny class |
Conductor |
77520 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
155040000 = 28 · 3 · 54 · 17 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -4 -4 -2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-356,-2400] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:8:1] [24:48:1] |
Generators of the group modulo torsion |
j |
19545784144/605625 |
j-invariant |
L |
7.1391083811766 |
L(r)(E,1)/r! |
Ω |
1.1009286079288 |
Real period |
R |
6.4846242795067 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000278 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
38760x1 |
Quadratic twists by: -4 |