Atkin-Lehner |
2+ 3- 13- 61- |
Signs for the Atkin-Lehner involutions |
Class |
114192s |
Isogeny class |
Conductor |
114192 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
14458661861918976 = 28 · 312 · 134 · 612 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 13- 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-65919,-2994370] |
[a1,a2,a3,a4,a6] |
j |
169741505509072/77474825649 |
j-invariant |
L |
4.9779764245691 |
L(r)(E,1)/r! |
Ω |
0.31112353361413 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
57096t2 38064g2 |
Quadratic twists by: -4 -3 |