Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dk |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
105432219648 = 222 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 4 7+ 2 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3468,-77040] |
[a1,a2,a3,a4,a6] |
Generators |
[-960:980:27] |
Generators of the group modulo torsion |
j |
651714363/14896 |
j-invariant |
L |
9.6702527861769 |
L(r)(E,1)/r! |
Ω |
0.62299445721854 |
Real period |
R |
3.8805532998803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990804 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608s1 19152bj1 76608dl1 |
Quadratic twists by: -4 8 -3 |