Atkin-Lehner |
2+ 3+ 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240x |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
870051840000 = 215 · 3 · 54 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 0 6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1812641,-938720895] |
[a1,a2,a3,a4,a6] |
j |
20100618173224653128/26551875 |
j-invariant |
L |
2.0818129752912 |
L(r)(E,1)/r! |
Ω |
0.1301132679967 |
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 |
114240cu4 57120ck4 |
Quadratic twists by: -4 8 |