Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dl |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
294912 |
Modular degree for the optimal curve |
Δ |
76860088123392 = 222 · 39 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7+ -2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-31212,2080080] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:1792:1] |
Generators of the group modulo torsion |
j |
651714363/14896 |
j-invariant |
L |
3.7272603986341 |
L(r)(E,1)/r! |
Ω |
0.61075612904251 |
Real period |
R |
1.5256745774062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000626 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608t1 19152bi1 76608dk1 |
Quadratic twists by: -4 8 -3 |