Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224cj |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
-120495224844288 = -1 · 212 · 36 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4116,537824] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:792:1] |
Generators of the group modulo torsion |
j |
-64 |
j-invariant |
L |
5.5044895008232 |
L(r)(E,1)/r! |
Ω |
0.49777159030474 |
Real period |
R |
2.7645659214166 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28224cm1 14112cb1 3136h1 28224ca1 |
Quadratic twists by: -4 8 -3 -7 |