Atkin-Lehner |
3- 5- 11- 23- |
Signs for the Atkin-Lehner involutions |
Class |
87285v |
Isogeny class |
Conductor |
87285 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
772469773288125 = 3 · 54 · 112 · 237 |
Discriminant |
Eigenvalues |
1 3- 5- 4 11- -2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-23555588,-44005645687] |
[a1,a2,a3,a4,a6] |
Generators |
[8147124319776051980351534956154:351936629504326257044143370083635:1245751436395141740573391576] |
Generators of the group modulo torsion |
j |
9764241639261414409/5218125 |
j-invariant |
L |
12.278096041054 |
L(r)(E,1)/r! |
Ω |
0.068529264305608 |
Real period |
R |
44.791433916088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999895774 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3795g4 |
Quadratic twists by: -23 |