Atkin-Lehner |
2- 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dt |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-4079072088096768 = -1 · 216 · 33 · 72 · 196 |
Discriminant |
Eigenvalues |
2- 3+ -4 7- -2 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14892,3151440] |
[a1,a2,a3,a4,a6] |
Generators |
[-414:-15561:8] [16:1708:1] |
Generators of the group modulo torsion |
j |
-206413976268/2305248169 |
j-invariant |
L |
8.5170977344707 |
L(r)(E,1)/r! |
Ω |
0.37371934457053 |
Real period |
R |
1.8991742194954 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000058 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608b2 19152i2 76608dr2 |
Quadratic twists by: -4 8 -3 |