Atkin-Lehner |
2+ 3+ 5- 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640j |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
5564160000 = 211 · 33 · 54 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ 4 2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-185480,30808272] |
[a1,a2,a3,a4,a6] |
Generators |
[253:110:1] |
Generators of the group modulo torsion |
j |
344577854816148242/2716875 |
j-invariant |
L |
5.8057032892011 |
L(r)(E,1)/r! |
Ω |
0.93607309659149 |
Real period |
R |
3.1010950482092 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999961 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320l3 115920p4 |
Quadratic twists by: -4 -3 |