Atkin-Lehner |
2- 3- 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
115920do |
Isogeny class |
Conductor |
115920 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-20062773972541440 = -1 · 213 · 36 · 5 · 74 · 234 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -4 -2 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-70083,-9871038] |
[a1,a2,a3,a4,a6] |
j |
-12748946194881/6718982410 |
j-invariant |
L |
2.2907229074438 |
L(r)(E,1)/r! |
Ω |
0.14317016228504 |
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 |
14490k4 12880y4 |
Quadratic twists by: -4 -3 |