Atkin-Lehner |
2- 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608el |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-88269007454208 = -1 · 215 · 310 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,2004,450704] |
[a1,a2,a3,a4,a6] |
Generators |
[-19:637:1] [-14:648:1] |
Generators of the group modulo torsion |
j |
37259704/3695139 |
j-invariant |
L |
8.8998897212527 |
L(r)(E,1)/r! |
Ω |
0.46344390533695 |
Real period |
R |
2.4004765244349 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000025 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608fc3 38304bi2 25536by3 |
Quadratic twists by: -4 8 -3 |