Atkin-Lehner |
2+ 3+ 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432n |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
27057532649472 = 214 · 32 · 133 · 174 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 2 13- 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-45713,3768849] |
[a1,a2,a3,a4,a6] |
Generators |
[-85:2652:1] |
Generators of the group modulo torsion |
j |
644811009586000/1651460733 |
j-invariant |
L |
3.6876239191022 |
L(r)(E,1)/r! |
Ω |
0.66905285538118 |
Real period |
R |
0.45930899298458 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999976 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432co2 5304f2 127296y2 |
Quadratic twists by: -4 8 -3 |