Atkin-Lehner |
2- 3+ 7- 13+ 53+ |
Signs for the Atkin-Lehner involutions |
Class |
28938j |
Isogeny class |
Conductor |
28938 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
36809136 = 24 · 32 · 7 · 13 · 532 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 4 13+ 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-7762,-266449] |
[a1,a2,a3,a4,a6] |
Generators |
[105:247:1] |
Generators of the group modulo torsion |
j |
51718762444864033/36809136 |
j-invariant |
L |
8.8675726910691 |
L(r)(E,1)/r! |
Ω |
0.50863456764174 |
Real period |
R |
4.3585184999238 |
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 |
86814s2 |
Quadratic twists by: -3 |