Atkin-Lehner |
2+ 3- 5- 31- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
114390o |
Isogeny class |
Conductor |
114390 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
150763009255200000 = 28 · 314 · 55 · 312 · 41 |
Discriminant |
Eigenvalues |
2+ 3- 5- 0 2 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1574399529,24045158795085] |
[a1,a2,a3,a4,a6] |
j |
592026350891807770584206241169/206807968800000 |
j-invariant |
L |
2.7152222346663 |
L(r)(E,1)/r! |
Ω |
0.1357611436062 |
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 |
38130x2 |
Quadratic twists by: -3 |