Atkin-Lehner |
2- 3+ 5- 23- |
Signs for the Atkin-Lehner involutions |
Class |
126960bu |
Isogeny class |
Conductor |
126960 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-3.6651525825119E+25 |
Discriminant |
Eigenvalues |
2- 3+ 5- -1 3 2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-593356200,-5570579610000] |
[a1,a2,a3,a4,a6] |
j |
-136154455833049/216000000 |
j-invariant |
L |
1.6516689942911 |
L(r)(E,1)/r! |
Ω |
0.015293236000265 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15870q2 126960bc2 |
Quadratic twists by: -4 -23 |