Atkin-Lehner |
2- 3- 5- 7+ 71- |
Signs for the Atkin-Lehner involutions |
Class |
119280ch |
Isogeny class |
Conductor |
119280 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
37181770752000 = 213 · 3 · 53 · 74 · 712 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -2 -2 -2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-62840,-6077100] |
[a1,a2,a3,a4,a6] |
Generators |
[300:1470:1] |
Generators of the group modulo torsion |
j |
6700067906144761/9077580750 |
j-invariant |
L |
8.6347181807955 |
L(r)(E,1)/r! |
Ω |
0.30156106554109 |
Real period |
R |
2.3861165496276 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999887251 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14910h2 |
Quadratic twists by: -4 |