Atkin-Lehner |
2+ 3- 19- |
Signs for the Atkin-Lehner involutions |
Class |
34656r |
Isogeny class |
Conductor |
34656 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
27098427456 = 26 · 32 · 196 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 -4 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-842,4800] |
[a1,a2,a3,a4,a6] |
Generators |
[11362:400680:6859] |
Generators of the group modulo torsion |
j |
21952/9 |
j-invariant |
L |
9.0035282611563 |
L(r)(E,1)/r! |
Ω |
1.074968793101 |
Real period |
R |
8.3756182681206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
34656x1 69312u2 103968cg1 96b1 |
Quadratic twists by: -4 8 -3 -19 |