Atkin-Lehner |
3+ 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
28749d |
Isogeny class |
Conductor |
28749 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1549003439179161 = 32 · 72 · 378 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 0 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-354599,81104880] |
[a1,a2,a3,a4,a6] |
j |
1921886786737/603729 |
j-invariant |
L |
1.8649550216018 |
L(r)(E,1)/r! |
Ω |
0.46623875540047 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
86247q2 777d2 |
Quadratic twists by: -3 37 |