Atkin-Lehner |
2- 3+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
17328v |
Isogeny class |
Conductor |
17328 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3163362027503616 = 217 · 33 · 197 |
Discriminant |
Eigenvalues |
2- 3+ 2 0 4 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-505700472,-4376948403600] |
[a1,a2,a3,a4,a6] |
Generators |
[-601756767711925009573221845440887341540196818023116614:-14404104601164424404862018805632924910029456570350:46349625241760694261834368249359295129349604873633] |
Generators of the group modulo torsion |
j |
74220219816682217473/16416 |
j-invariant |
L |
4.9977989859694 |
L(r)(E,1)/r! |
Ω |
0.031836565834652 |
Real period |
R |
78.491490130032 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2166d3 69312do4 51984ct4 912k3 |
Quadratic twists by: -4 8 -3 -19 |