Atkin-Lehner |
3+ 5- 13+ 37- |
Signs for the Atkin-Lehner involutions |
Class |
36075i |
Isogeny class |
Conductor |
36075 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1808243321625 = -1 · 34 · 53 · 136 · 37 |
Discriminant |
Eigenvalues |
-1 3+ 5- 0 -2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-1073,-66544] |
[a1,a2,a3,a4,a6] |
Generators |
[159:1873:1] |
Generators of the group modulo torsion |
j |
-1093045300901/14465946573 |
j-invariant |
L |
2.9532455616336 |
L(r)(E,1)/r! |
Ω |
0.35712458851405 |
Real period |
R |
4.1347552879529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108225bg2 36075x2 |
Quadratic twists by: -3 5 |