Atkin-Lehner |
3- 5+ 11- 71+ |
Signs for the Atkin-Lehner involutions |
Class |
35145g |
Isogeny class |
Conductor |
35145 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
156570975 = 36 · 52 · 112 · 71 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 11- 2 6 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-3398,-75378] |
[a1,a2,a3,a4,a6] |
Generators |
[68:33:1] |
Generators of the group modulo torsion |
j |
5950404385561/214775 |
j-invariant |
L |
3.3964746173263 |
L(r)(E,1)/r! |
Ω |
0.62532333745482 |
Real period |
R |
2.7157747151664 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3905b2 |
Quadratic twists by: -3 |