Atkin-Lehner |
2+ 5+ 7+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
13160a |
Isogeny class |
Conductor |
13160 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
969839360000 = 211 · 54 · 73 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5+ 7+ 0 -2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14243,652542] |
[a1,a2,a3,a4,a6] |
Generators |
[-318:8601:8] |
Generators of the group modulo torsion |
j |
156026433972978/473554375 |
j-invariant |
L |
3.8653776325683 |
L(r)(E,1)/r! |
Ω |
0.88370047247495 |
Real period |
R |
4.3740812107328 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26320d2 105280i2 118440ci2 65800i2 |
Quadratic twists by: -4 8 -3 5 |