Atkin-Lehner |
2+ 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240p |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
24566169600 = 217 · 32 · 52 · 72 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ 4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-31987201,-69621916415] |
[a1,a2,a3,a4,a6] |
j |
27614839122506424902402/187425 |
j-invariant |
L |
2.031447394874 |
L(r)(E,1)/r! |
Ω |
0.063482715222072 |
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 |
114240jl6 14280bz5 |
Quadratic twists by: -4 8 |