Atkin-Lehner |
2+ 3- 5+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
114240cx |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
62643732480 = 215 · 33 · 5 · 72 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5601,159039] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:168:1] [27:168:1] |
Generators of the group modulo torsion |
j |
593127460808/1911735 |
j-invariant |
L |
12.384873320728 |
L(r)(E,1)/r! |
Ω |
1.1106380712638 |
Real period |
R |
0.92926111890225 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999993156 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240bb2 57120k2 |
Quadratic twists by: -4 8 |