Atkin-Lehner |
3- 7- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
6909h |
Isogeny class |
Conductor |
6909 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
147355725447 = 34 · 77 · 472 |
Discriminant |
Eigenvalues |
1 3- -4 7- 2 0 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-1398,7837] |
[a1,a2,a3,a4,a6] |
Generators |
[-31:162:1] |
Generators of the group modulo torsion |
j |
2565726409/1252503 |
j-invariant |
L |
4.4778533782763 |
L(r)(E,1)/r! |
Ω |
0.91536043053467 |
Real period |
R |
1.2229754610598 |
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 |
110544cx2 20727s2 987a2 |
Quadratic twists by: -4 -3 -7 |