Atkin-Lehner |
2- 3+ 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
108192bm |
Isogeny class |
Conductor |
108192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
327172608 = 29 · 34 · 73 · 23 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- -4 2 -6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1696,-26312] |
[a1,a2,a3,a4,a6] |
j |
3073924664/1863 |
j-invariant |
L |
2.9757578639878 |
L(r)(E,1)/r! |
Ω |
0.74393939013255 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
108192bw2 108192ch2 |
Quadratic twists by: -4 -7 |