Atkin-Lehner |
2- 5+ 7- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
108290z |
Isogeny class |
Conductor |
108290 |
Conductor |
∏ cp |
256 |
Product of Tamagawa factors cp |
Δ |
155374403635360000 = 28 · 54 · 76 · 134 · 172 |
Discriminant |
Eigenvalues |
2- 0 5+ 7- 0 13+ 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140223,7020647] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:3698:1] |
Generators of the group modulo torsion |
j |
2591733435976881/1320660640000 |
j-invariant |
L |
8.5535616738329 |
L(r)(E,1)/r! |
Ω |
0.28632059035212 |
Real period |
R |
1.8671294404007 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018242 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
2210g2 |
Quadratic twists by: -7 |