Atkin-Lehner |
2- 3+ 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040bz |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-31270262400000000 = -1 · 213 · 32 · 58 · 13 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 0 13- 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-40240,9070912] |
[a1,a2,a3,a4,a6] |
Generators |
[18:2890:1] |
Generators of the group modulo torsion |
j |
-1759334717565361/7634341406250 |
j-invariant |
L |
5.8087231492726 |
L(r)(E,1)/r! |
Ω |
0.32268037340424 |
Real period |
R |
2.25018455878 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000048 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
6630ba4 |
Quadratic twists by: -4 |