Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
25536bq |
Isogeny class |
Conductor |
25536 |
Conductor |
∏ cp |
160 |
Product of Tamagawa factors cp |
Δ |
-34226757992448 = -1 · 215 · 310 · 72 · 192 |
Discriminant |
Eigenvalues |
2+ 3- -4 7- -4 -4 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4065,297279] |
[a1,a2,a3,a4,a6] |
Generators |
[-69:504:1] [27:-456:1] |
Generators of the group modulo torsion |
j |
-226757813192/1044517761 |
j-invariant |
L |
7.5818592780724 |
L(r)(E,1)/r! |
Ω |
0.56859948099144 |
Real period |
R |
0.33335676216474 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
25536f2 12768e2 76608cr2 |
Quadratic twists by: -4 8 -3 |