Atkin-Lehner |
2- 5+ 7- |
Signs for the Atkin-Lehner involutions |
Class |
78400ij |
Isogeny class |
Conductor |
78400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
164416716800 = 227 · 52 · 72 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 0 -2 -3 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-11713,-491457] |
[a1,a2,a3,a4,a6] |
Generators |
[-1707:512:27] |
Generators of the group modulo torsion |
j |
553463785/512 |
j-invariant |
L |
3.1315298360218 |
L(r)(E,1)/r! |
Ω |
0.45893750333287 |
Real period |
R |
1.7058585384088 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000004459 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
78400ca2 19600cn2 78400kq2 78400gh2 |
Quadratic twists by: -4 8 5 -7 |