Atkin-Lehner |
2- 3- 5+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
111600eu |
Isogeny class |
Conductor |
111600 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-5.81685242976E+21 |
Discriminant |
Eigenvalues |
2- 3- 5+ 0 -4 -6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2345325,3399079250] |
[a1,a2,a3,a4,a6] |
j |
30579142915511/124675335000 |
j-invariant |
L |
1.5398238890514 |
L(r)(E,1)/r! |
Ω |
0.096238997088603 |
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 |
13950m4 37200bv3 22320cb3 |
Quadratic twists by: -4 -3 5 |