Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dg |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-4.1251037808552E+23 |
Discriminant |
Eigenvalues |
2- 3+ 0 7+ 6 -2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-80324460,278807090256] |
[a1,a2,a3,a4,a6] |
Generators |
[37516632228240:-4017339198414836:13980103929] |
Generators of the group modulo torsion |
j |
-11108001800138902875/79947274872976 |
j-invariant |
L |
6.727027334638 |
L(r)(E,1)/r! |
Ω |
0.095046150826929 |
Real period |
R |
17.694107746527 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000209 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608n4 19152bh4 76608dh2 |
Quadratic twists by: -4 8 -3 |