Atkin-Lehner |
3- 5+ 11- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175q |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
52408550390625 = 38 · 58 · 112 · 132 |
Discriminant |
Eigenvalues |
-1 3- 5+ -4 11- 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-11255,302622] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:830:1] |
Generators of the group modulo torsion |
j |
13841287201/4601025 |
j-invariant |
L |
2.7638721582301 |
L(r)(E,1)/r! |
Ω |
0.58183310371303 |
Real period |
R |
1.1875708603517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
10725b2 6435j2 |
Quadratic twists by: -3 5 |