Atkin-Lehner |
2+ 3- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
88218bc |
Isogeny class |
Conductor |
88218 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-2.1767520836527E+20 |
Discriminant |
Eigenvalues |
2+ 3- 3 1 0 13+ -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,514827,-695587203] |
[a1,a2,a3,a4,a6] |
Generators |
[129326:16392895:8] |
Generators of the group modulo torsion |
j |
4288639501223/61861625384 |
j-invariant |
L |
5.9753489913478 |
L(r)(E,1)/r! |
Ω |
0.086770819153217 |
Real period |
R |
5.7386314143646 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000012776 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9802d2 6786t2 |
Quadratic twists by: -3 13 |