Atkin-Lehner |
3- 5+ 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
32175i |
Isogeny class |
Conductor |
32175 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-6.8377611624787E+31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11+ 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,7001912245,327755839434122] |
[a1,a2,a3,a4,a6] |
j |
3332929660234457386698260639/6002972762669909038101375 |
j-invariant |
L |
0.96560626152239 |
L(r)(E,1)/r! |
Ω |
0.013411198076669 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
36 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10725f8 6435f8 |
Quadratic twists by: -3 5 |