Atkin-Lehner |
2- 3+ 5+ 17- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
118320bl |
Isogeny class |
Conductor |
118320 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
658805760000 = 213 · 32 · 54 · 17 · 292 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 4 -4 -2 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-2176,2176] |
[a1,a2,a3,a4,a6] |
Generators |
[-24:200:1] |
Generators of the group modulo torsion |
j |
278317173889/160841250 |
j-invariant |
L |
5.4581429741765 |
L(r)(E,1)/r! |
Ω |
0.77162201367344 |
Real period |
R |
0.88419959817468 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999610016 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14790z2 |
Quadratic twists by: -4 |