Atkin-Lehner |
2+ 3+ 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
32190a |
Isogeny class |
Conductor |
32190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-26410155452400 = -1 · 24 · 3 · 52 · 296 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 6 4 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,6932,-105728] |
[a1,a2,a3,a4,a6] |
Generators |
[87:1036:1] |
Generators of the group modulo torsion |
j |
36829979650341431/26410155452400 |
j-invariant |
L |
3.7296101642542 |
L(r)(E,1)/r! |
Ω |
0.37610502399131 |
Real period |
R |
4.9582030634357 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
96570w2 |
Quadratic twists by: -3 |