Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34656r |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
72262473216 = 29 · 3 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11672,481320] |
[a1,a2,a3,a4,a6] |
Generators |
[15570:123462:125] |
Generators of the group modulo torsion |
j |
7301384/3 |
j-invariant |
L |
9.0035282611563 |
L(r)(E,1)/r! |
Ω |
1.074968793101 |
Real period |
R |
4.1878091340603 |
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 |
34656x4 69312u4 103968cg4 96b2 |
Quadratic twists by: -4 8 -3 -19 |