Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608di |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2824842166272 = -1 · 214 · 33 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3+ 2 7+ -2 -2 2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-10044,-395792] |
[a1,a2,a3,a4,a6] |
Generators |
[629:15561:1] |
Generators of the group modulo torsion |
j |
-253314541296/6385729 |
j-invariant |
L |
7.1900682473975 |
L(r)(E,1)/r! |
Ω |
0.23809278803896 |
Real period |
R |
3.7748246733803 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000905 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608o2 19152d2 76608dj2 |
Quadratic twists by: -4 8 -3 |