Atkin-Lehner |
3- 5- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
28665bt |
Isogeny class |
Conductor |
28665 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
73728 |
Modular degree for the optimal curve |
Δ |
585353775825 = 37 · 52 · 77 · 13 |
Discriminant |
Eigenvalues |
-1 3- 5- 7- -4 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-62852,-6049074] |
[a1,a2,a3,a4,a6] |
Generators |
[-144:74:1] [431:6624:1] |
Generators of the group modulo torsion |
j |
320153881321/6825 |
j-invariant |
L |
5.6589536681263 |
L(r)(E,1)/r! |
Ω |
0.30152329790216 |
Real period |
R |
9.383940988139 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9555c1 4095h1 |
Quadratic twists by: -3 -7 |