Atkin-Lehner |
3+ 5+ 83- |
Signs for the Atkin-Lehner involutions |
Class |
3735a |
Isogeny class |
Conductor |
3735 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
21884765625 = 33 · 510 · 83 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 -6 0 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1133,-12548] |
[a1,a2,a3,a4,a6] |
j |
5952374826867/810546875 |
j-invariant |
L |
0.83037293558344 |
L(r)(E,1)/r! |
Ω |
0.83037293558344 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
59760s2 3735b2 18675a2 |
Quadratic twists by: -4 -3 5 |