Atkin-Lehner |
2- 3+ 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
44100g |
Isogeny class |
Conductor |
44100 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
77824813500000000 = 28 · 33 · 59 · 78 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7- 0 -4 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2458575,-1483732250] |
[a1,a2,a3,a4,a6] |
Generators |
[17990:2403450:1] |
Generators of the group modulo torsion |
j |
129348709488/6125 |
j-invariant |
L |
5.5383966754445 |
L(r)(E,1)/r! |
Ω |
0.12056740769976 |
Real period |
R |
5.742012685177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999944 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44100h4 8820a2 6300b2 |
Quadratic twists by: -3 5 -7 |