Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608ej |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
2703360 |
Modular degree for the optimal curve |
Δ |
243865650696192 = 212 · 311 · 72 · 193 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 2 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-20000676,-34428264064] |
[a1,a2,a3,a4,a6] |
j |
296326341756254404288/81670113 |
j-invariant |
L |
0.85668196240897 |
L(r)(E,1)/r! |
Ω |
0.071390165053147 |
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 |
76608fb1 38304i1 25536bx1 |
Quadratic twists by: -4 8 -3 |