Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dh |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
-2.3872886220211E+24 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ -6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,25649460,-55010757744] |
[a1,a2,a3,a4,a6] |
Generators |
[17570720:-6591841228:125] |
Generators of the group modulo torsion |
j |
361682234074684125/462672528510976 |
j-invariant |
L |
4.4659761057985 |
L(r)(E,1)/r! |
Ω |
0.043654753200142 |
Real period |
R |
8.5251810668411 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000638 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608m4 19152bg4 76608dg2 |
Quadratic twists by: -4 8 -3 |