Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608ds |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
32768 |
Modular degree for the optimal curve |
Δ |
102961152 = 212 · 33 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- 0 -6 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-132,320] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:21:1] [-4:28:1] |
Generators of the group modulo torsion |
j |
2299968/931 |
j-invariant |
L |
8.5170158260745 |
L(r)(E,1)/r! |
Ω |
1.7123588371504 |
Real period |
R |
1.2434624742684 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000189 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cz1 38304e1 76608dq1 |
Quadratic twists by: -4 8 -3 |