Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608em |
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 |
[-2:28:1] [1:35:1] |
Generators of the group modulo torsion |
j |
442368/931 |
j-invariant |
L |
8.6424254535772 |
L(r)(E,1)/r! |
Ω |
1.1149886297872 |
Real period |
R |
3.8755666303433 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999938 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ch1 19152bn1 8512d1 |
Quadratic twists by: -4 8 -3 |