Atkin-Lehner |
2- 3+ 5- 7- 17- |
Signs for the Atkin-Lehner involutions |
Class |
114240hu |
Isogeny class |
Conductor |
114240 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1203260813475840 = 218 · 33 · 5 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- -4 4 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-38305,2366785] |
[a1,a2,a3,a4,a6] |
Generators |
[-48:2023:1] |
Generators of the group modulo torsion |
j |
23711636464489/4590075735 |
j-invariant |
L |
6.677530131577 |
L(r)(E,1)/r! |
Ω |
0.46148359032771 |
Real period |
R |
2.4116170449886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999656699 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
114240ei2 28560dp2 |
Quadratic twists by: -4 8 |