Atkin-Lehner |
2+ 3- 7+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
3906b |
Isogeny class |
Conductor |
3906 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
18681081248277504 = 210 · 318 · 72 · 312 |
Discriminant |
Eigenvalues |
2+ 3- -2 7+ 0 -2 -2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-78813,5431045] |
[a1,a2,a3,a4,a6] |
j |
74266483535212753/25625625854976 |
j-invariant |
L |
0.7112321591285 |
L(r)(E,1)/r! |
Ω |
0.35561607956425 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31248cj2 124992bi2 1302j2 97650dp2 |
Quadratic twists by: -4 8 -3 5 |