Atkin-Lehner |
2- 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608fe |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
72378012672 = 210 · 312 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- -4 7- -4 -2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1272,-11720] |
[a1,a2,a3,a4,a6] |
j |
304900096/96957 |
j-invariant |
L |
1.6389788351385 |
L(r)(E,1)/r! |
Ω |
0.81948942777591 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608by1 19152bb1 25536di1 |
Quadratic twists by: -4 8 -3 |