Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fh |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
893555712 = 210 · 38 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1560,23672] |
[a1,a2,a3,a4,a6] |
Generators |
[-26:216:1] |
Generators of the group modulo torsion |
j |
562432000/1197 |
j-invariant |
L |
6.9642009009109 |
L(r)(E,1)/r! |
Ω |
1.5790337176946 |
Real period |
R |
2.2052096869735 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608y1 19152s1 25536ci1 |
Quadratic twists by: -4 8 -3 |