Atkin-Lehner |
2+ 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608cn |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-7060491220156416 = -1 · 217 · 310 · 7 · 194 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 0 2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-28236,4436080] |
[a1,a2,a3,a4,a6] |
Generators |
[-171:2065:1] [8:2052:1] |
Generators of the group modulo torsion |
j |
-26055281954/73892007 |
j-invariant |
L |
10.209812090744 |
L(r)(E,1)/r! |
Ω |
0.36970032320458 |
Real period |
R |
3.4520567909687 |
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 |
76608dx3 9576l4 25536bp3 |
Quadratic twists by: -4 8 -3 |