Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608cn |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
38125043712 = 217 · 37 · 7 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-612876,184674544] |
[a1,a2,a3,a4,a6] |
Generators |
[456:148:1] [2216:98532:1] |
Generators of the group modulo torsion |
j |
266442869452034/399 |
j-invariant |
L |
10.209812090744 |
L(r)(E,1)/r! |
Ω |
0.73940064640917 |
Real period |
R |
13.808227163875 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608dx4 9576l3 25536bp4 |
Quadratic twists by: -4 8 -3 |