Atkin-Lehner |
2- 7- 13+ 101- |
Signs for the Atkin-Lehner involutions |
Class |
128674u |
Isogeny class |
Conductor |
128674 |
Conductor |
∏ cp |
272 |
Product of Tamagawa factors cp |
Δ |
186091123791233024 = 217 · 77 · 132 · 1012 |
Discriminant |
Eigenvalues |
2- -2 -2 7- 4 13+ 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-239775719,-1429097925431] |
[a1,a2,a3,a4,a6] |
j |
12958390941276011143846753/1581748453376 |
j-invariant |
L |
2.6088999035855 |
L(r)(E,1)/r! |
Ω |
0.038366152982479 |
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 |
18382i2 |
Quadratic twists by: -7 |