Atkin-Lehner |
2+ 3- 13+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42432t |
Isogeny class |
Conductor |
42432 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
43450368 = 216 · 3 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 2 -4 4 13+ 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-56577,5160927] |
[a1,a2,a3,a4,a6] |
Generators |
[4899:25640:27] |
Generators of the group modulo torsion |
j |
305612563186948/663 |
j-invariant |
L |
7.6723244630802 |
L(r)(E,1)/r! |
Ω |
1.3231513410523 |
Real period |
R |
5.7985237402854 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
42432bn4 5304k4 127296j4 |
Quadratic twists by: -4 8 -3 |