Atkin-Lehner |
2+ 3+ 7- 19- |
Signs for the Atkin-Lehner involutions |
Class |
76608v |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
14711501242368 = 214 · 39 · 74 · 19 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7- -2 -6 0 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9180,-283824] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:224:1] |
Generators of the group modulo torsion |
j |
265302000/45619 |
j-invariant |
L |
5.8690316238925 |
L(r)(E,1)/r! |
Ω |
0.49346550409927 |
Real period |
R |
1.4866874116006 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997687 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608cs2 9576c2 76608u2 |
Quadratic twists by: -4 8 -3 |