Atkin-Lehner |
2- 3- 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608fh |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-633828851712 = -1 · 214 · 37 · 72 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 7- 0 2 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1020,40304] |
[a1,a2,a3,a4,a6] |
Generators |
[13:171:1] |
Generators of the group modulo torsion |
j |
-9826000/53067 |
j-invariant |
L |
6.9642009009109 |
L(r)(E,1)/r! |
Ω |
0.7895168588473 |
Real period |
R |
1.1026048434868 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000395 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608y2 19152s2 25536ci2 |
Quadratic twists by: -4 8 -3 |