Atkin-Lehner |
2+ 3- 5- 13- 29- |
Signs for the Atkin-Lehner involutions |
Class |
90480r |
Isogeny class |
Conductor |
90480 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
197879760 = 24 · 38 · 5 · 13 · 29 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 -4 13- -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-655,-6640] |
[a1,a2,a3,a4,a6] |
Generators |
[-384:28:27] |
Generators of the group modulo torsion |
j |
1945317554176/12367485 |
j-invariant |
L |
8.2584347911167 |
L(r)(E,1)/r! |
Ω |
0.94395289792669 |
Real period |
R |
4.374389233704 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004224 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
45240o1 |
Quadratic twists by: -4 |