Atkin-Lehner |
2+ 3- 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608bs |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
1086563745792 = 216 · 38 · 7 · 192 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 6 -4 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-6060,174512] |
[a1,a2,a3,a4,a6] |
Generators |
[-2:432:1] |
Generators of the group modulo torsion |
j |
515150500/22743 |
j-invariant |
L |
6.6322478670769 |
L(r)(E,1)/r! |
Ω |
0.86304057746429 |
Real period |
R |
0.96059328481392 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001815 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608ev2 9576t2 25536h2 |
Quadratic twists by: -4 8 -3 |