Atkin-Lehner |
2+ 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608h |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1.3593799095874E+19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- 0 -2 -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-763020,185323248] |
[a1,a2,a3,a4,a6] |
Generators |
[222:5184:1] [1492:48664:1] |
Generators of the group modulo torsion |
j |
9521387989875/2634569336 |
j-invariant |
L |
11.063681652028 |
L(r)(E,1)/r! |
Ω |
0.2082893066913 |
Real period |
R |
13.279224252871 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999212 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608db4 2394a4 76608g2 |
Quadratic twists by: -4 8 -3 |