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 |
65374918705152 = 215 · 37 · 7 · 194 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ -4 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-12396,-361744] |
[a1,a2,a3,a4,a6] |
Generators |
[136:684:1] [-56:396:1] |
Generators of the group modulo torsion |
j |
8818423496/2736741 |
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 |
76608fc4 38304bi3 25536by4 |
Quadratic twists by: -4 8 -3 |