Atkin-Lehner |
2- 3+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608dj |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-2059309939212288 = -1 · 214 · 39 · 72 · 194 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ 2 -2 -2 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-90396,10686384] |
[a1,a2,a3,a4,a6] |
Generators |
[165:513:1] |
Generators of the group modulo torsion |
j |
-253314541296/6385729 |
j-invariant |
L |
4.2554539468283 |
L(r)(E,1)/r! |
Ω |
0.46410839063602 |
Real period |
R |
1.146136881715 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999949658 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608q2 19152c2 76608di2 |
Quadratic twists by: -4 8 -3 |