Atkin-Lehner |
2+ 5- 13- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
6890f |
Isogeny class |
Conductor |
6890 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
Δ |
-4954626560 = -1 · 29 · 5 · 13 · 533 |
Discriminant |
Eigenvalues |
2+ 1 5- 2 0 13- -6 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-3523,-80834] |
[a1,a2,a3,a4,a6] |
Generators |
[9056052:114926599:46656] |
Generators of the group modulo torsion |
j |
-4833752649958441/4954626560 |
j-invariant |
L |
3.9034132310419 |
L(r)(E,1)/r! |
Ω |
0.30983428580369 |
Real period |
R |
12.598390203707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55120t2 62010bs2 34450o2 89570o2 |
Quadratic twists by: -4 -3 5 13 |