Atkin-Lehner |
2- 3- 5- 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120gf |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
202752 |
Modular degree for the optimal curve |
Δ |
11099260846080 = 223 · 37 · 5 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11- 1 7 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5907,69586] |
[a1,a2,a3,a4,a6] |
Generators |
[185:2304:1] |
Generators of the group modulo torsion |
j |
63088729/30720 |
j-invariant |
L |
7.0559360742164 |
L(r)(E,1)/r! |
Ω |
0.63875562702538 |
Real period |
R |
0.69039862099589 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013307 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890z1 29040db1 87120gd1 |
Quadratic twists by: -4 -3 -11 |