Atkin-Lehner |
2+ 3+ 5+ 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
53040d |
Isogeny class |
Conductor |
53040 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-9.1253939807734E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 4 -4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-792936,-1478322864] |
[a1,a2,a3,a4,a6] |
j |
-26922086450129858258/445575877967449125 |
j-invariant |
L |
2.1626939671127 |
L(r)(E,1)/r! |
Ω |
0.067584186506449 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
16 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520e3 |
Quadratic twists by: -4 |