Atkin-Lehner |
2+ 3- 5- 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
87360dh |
Isogeny class |
Conductor |
87360 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
196608 |
Modular degree for the optimal curve |
Δ |
6267602577600 = 26 · 316 · 52 · 7 · 13 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7+ -4 13- -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5220,-82782] |
[a1,a2,a3,a4,a6] |
Generators |
[-27:198:1] [81:180:1] |
Generators of the group modulo torsion |
j |
245832015985984/97931290275 |
j-invariant |
L |
13.205119154329 |
L(r)(E,1)/r! |
Ω |
0.58129722920066 |
Real period |
R |
2.8395798422688 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993105 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
87360bs1 43680ba3 |
Quadratic twists by: -4 8 |