Atkin-Lehner |
2- 3+ 5+ 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240fp |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
543121160601600 = 216 · 34 · 52 · 72 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ -4 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-108001,13651201] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:4896:1] |
Generators of the group modulo torsion |
j |
2125842732972004/8287371225 |
j-invariant |
L |
4.0489686887465 |
L(r)(E,1)/r! |
Ω |
0.52204109689843 |
Real period |
R |
0.96950428117919 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000152114 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
114240dw3 28560bs4 |
Quadratic twists by: -4 8 |