Atkin-Lehner |
2+ 3- 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608cj |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
393216 |
Modular degree for the optimal curve |
Δ |
136640156663808 = 226 · 37 · 72 · 19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- -2 0 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22188,1141040] |
[a1,a2,a3,a4,a6] |
Generators |
[5:1015:1] |
Generators of the group modulo torsion |
j |
6321363049/715008 |
j-invariant |
L |
9.0669450539278 |
L(r)(E,1)/r! |
Ω |
0.56420005276461 |
Real period |
R |
4.017610866737 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002123 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608en1 2394o1 25536p1 |
Quadratic twists by: -4 8 -3 |