Atkin-Lehner |
2- 3- 5- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
42840cg |
Isogeny class |
Conductor |
42840 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
1427697156614400 = 28 · 38 · 52 · 76 · 172 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 4 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-349887,-79639166] |
[a1,a2,a3,a4,a6] |
Generators |
[1023:25160:1] |
Generators of the group modulo torsion |
j |
25382806462819024/7650126225 |
j-invariant |
L |
6.7591826886635 |
L(r)(E,1)/r! |
Ω |
0.19630233161614 |
Real period |
R |
4.3040641908177 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
85680cm2 14280o2 |
Quadratic twists by: -4 -3 |