Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608ch |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
30720 |
Modular degree for the optimal curve |
Δ |
-694987776 = -1 · 210 · 36 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- 4 -4 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,144,-1080] |
[a1,a2,a3,a4,a6] |
Generators |
[118:1288:1] |
Generators of the group modulo torsion |
j |
442368/931 |
j-invariant |
L |
5.291460701606 |
L(r)(E,1)/r! |
Ω |
0.83731673911107 |
Real period |
R |
3.1597724342788 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992425 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608em1 4788f1 8512b1 |
Quadratic twists by: -4 8 -3 |