Atkin-Lehner |
2- 3- 5+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
110400it |
Isogeny class |
Conductor |
110400 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
Δ |
-12516498432000000 = -1 · 216 · 312 · 56 · 23 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,24767,5177663] |
[a1,a2,a3,a4,a6] |
Generators |
[-91:1476:1] [-73:1728:1] |
Generators of the group modulo torsion |
j |
1640689628/12223143 |
j-invariant |
L |
12.312629953733 |
L(r)(E,1)/r! |
Ω |
0.29148028712223 |
Real period |
R |
1.7600718497412 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999991008 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
110400q3 27600l3 4416q4 |
Quadratic twists by: -4 8 5 |