Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
17472bh |
Isogeny class |
Conductor |
17472 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
819054945386496 = 214 · 36 · 74 · 134 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- 4 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-45137,-3439665] |
[a1,a2,a3,a4,a6] |
Generators |
[-107:420:1] |
Generators of the group modulo torsion |
j |
620742479063632/49991146569 |
j-invariant |
L |
7.3288146113922 |
L(r)(E,1)/r! |
Ω |
0.32921538794969 |
Real period |
R |
1.855121520148 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
17472br2 2184j2 52416cp2 122304cc2 |
Quadratic twists by: -4 8 -3 -7 |