Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dj |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
147456 |
Modular degree for the optimal curve |
Δ |
50932675584 = 210 · 39 · 7 · 192 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90936,10554840] |
[a1,a2,a3,a4,a6] |
Generators |
[-258:4104:1] |
Generators of the group modulo torsion |
j |
4126102419456/2527 |
j-invariant |
L |
4.2554539468283 |
L(r)(E,1)/r! |
Ω |
0.92821678127204 |
Real period |
R |
2.2922737634299 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608q1 19152c1 76608di1 |
Quadratic twists by: -4 8 -3 |