Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608cp |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
392249512230912 = 216 · 38 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-52716,4560176] |
[a1,a2,a3,a4,a6] |
Generators |
[-194:2736:1] [-146:3024:1] |
Generators of the group modulo torsion |
j |
339112345828/8210223 |
j-invariant |
L |
9.5546088841553 |
L(r)(E,1)/r! |
Ω |
0.53285248673615 |
Real period |
R |
1.1206911295811 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999881 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608dz3 9576z4 25536u3 |
Quadratic twists by: -4 8 -3 |