Atkin-Lehner |
3- 13+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
35997a |
Isogeny class |
Conductor |
35997 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
72995832507 = 3 · 136 · 712 |
Discriminant |
Eigenvalues |
-1 3- -2 -2 0 13+ 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-2454,44745] |
[a1,a2,a3,a4,a6] |
Generators |
[53:227:1] |
Generators of the group modulo torsion |
j |
338608873/15123 |
j-invariant |
L |
3.0232348543503 |
L(r)(E,1)/r! |
Ω |
1.0806204485745 |
Real period |
R |
1.3988421458884 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
107991a2 213a2 |
Quadratic twists by: -3 13 |