Atkin-Lehner |
2- 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
87120ef |
Isogeny class |
Conductor |
87120 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-3667314175660523520 = -1 · 236 · 36 · 5 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 11- -4 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,348117,47320922] |
[a1,a2,a3,a4,a6] |
j |
106718863559/83886080 |
j-invariant |
L |
2.883729482104 |
L(r)(E,1)/r! |
Ω |
0.16020719679771 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10890bq2 9680ba2 87120eh2 |
Quadratic twists by: -4 -3 -11 |