Atkin-Lehner |
2+ 13- 41- |
Signs for the Atkin-Lehner involutions |
Class |
34112j |
Isogeny class |
Conductor |
34112 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1001502506221568 = 221 · 132 · 414 |
Discriminant |
Eigenvalues |
2+ 0 2 0 0 13- -6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-463724,-121535568] |
[a1,a2,a3,a4,a6] |
Generators |
[30882:784576:27] |
Generators of the group modulo torsion |
j |
42069031141486257/3820428872 |
j-invariant |
L |
6.0744239454687 |
L(r)(E,1)/r! |
Ω |
0.18295194370989 |
Real period |
R |
4.1502865604293 |
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 |
34112t4 1066e3 |
Quadratic twists by: -4 8 |