Atkin-Lehner |
2- 3- 7- 13- |
Signs for the Atkin-Lehner involutions |
Class |
122304im |
Isogeny class |
Conductor |
122304 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-107744407400448 = -1 · 212 · 33 · 78 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 7- 4 13- 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,1111,499575] |
[a1,a2,a3,a4,a6] |
Generators |
[-47:588:1] |
Generators of the group modulo torsion |
j |
314432/223587 |
j-invariant |
L |
8.2772132663823 |
L(r)(E,1)/r! |
Ω |
0.46372369283044 |
Real period |
R |
1.4874542353855 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000018111 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
122304gf2 61152be1 17472cd2 |
Quadratic twists by: -4 8 -7 |