Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bo |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
3677875310592 = 212 · 39 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 0 4 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-4980,98912] |
[a1,a2,a3,a4,a6] |
Generators |
[-76:196:1] |
Generators of the group modulo torsion |
j |
4574296000/1231713 |
j-invariant |
L |
6.2128459544753 |
L(r)(E,1)/r! |
Ω |
0.7356175037085 |
Real period |
R |
2.1114390025638 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002061 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ca1 38304g1 25536g1 |
Quadratic twists by: -4 8 -3 |