Atkin-Lehner |
3+ 7- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3003d |
Isogeny class |
Conductor |
3003 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
6954210586323 = 35 · 72 · 112 · 136 |
Discriminant |
Eigenvalues |
1 3+ 0 7- 11+ 13+ 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-63000,6058881] |
[a1,a2,a3,a4,a6] |
j |
27653883672870015625/6954210586323 |
j-invariant |
L |
1.4576126225897 |
L(r)(E,1)/r! |
Ω |
0.72880631129485 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48048cf2 9009k2 75075bf2 21021i2 |
Quadratic twists by: -4 -3 5 -7 |