Atkin-Lehner |
3- 5- 19- 59- |
Signs for the Atkin-Lehner involutions |
Class |
50445f |
Isogeny class |
Conductor |
50445 |
Conductor |
∏ cp |
72 |
Product of Tamagawa factors cp |
Δ |
-133345524796875 = -1 · 37 · 56 · 19 · 593 |
Discriminant |
Eigenvalues |
0 3- 5- -1 0 5 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-9282,653562] |
[a1,a2,a3,a4,a6] |
Generators |
[62:-563:1] |
Generators of the group modulo torsion |
j |
-121316780376064/182915671875 |
j-invariant |
L |
5.4843947528514 |
L(r)(E,1)/r! |
Ω |
0.52479381136029 |
Real period |
R |
1.306321319474 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999774 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
16815c2 |
Quadratic twists by: -3 |