Atkin-Lehner |
2+ 3- 7- |
Signs for the Atkin-Lehner involutions |
Class |
28224cj |
Isogeny class |
Conductor |
28224 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
963961798754304 = 215 · 36 · 79 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-127596,17479280] |
[a1,a2,a3,a4,a6] |
Generators |
[317:2981:1] |
Generators of the group modulo torsion |
j |
238328 |
j-invariant |
L |
5.5044895008232 |
L(r)(E,1)/r! |
Ω |
0.49777159030474 |
Real period |
R |
5.5291318428332 |
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 |
28224cm2 14112cb2 3136h2 28224ca2 |
Quadratic twists by: -4 8 -3 -7 |