Atkin-Lehner |
2- 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
8840c |
Isogeny class |
Conductor |
8840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-19536400000000 = -1 · 210 · 58 · 132 · 172 |
Discriminant |
Eigenvalues |
2- 2 5+ -2 2 13+ 17- 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,64,212636] |
[a1,a2,a3,a4,a6] |
Generators |
[94:1020:1] |
Generators of the group modulo torsion |
j |
27871484/19078515625 |
j-invariant |
L |
5.4243239719199 |
L(r)(E,1)/r! |
Ω |
0.54347891970977 |
Real period |
R |
2.4951860022541 |
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 |
17680a2 70720s2 79560u2 44200h2 |
Quadratic twists by: -4 8 -3 5 |