Atkin-Lehner |
2- 3+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
76608dm |
Isogeny class |
Conductor |
76608 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
65536 |
Modular degree for the optimal curve |
Δ |
80721543168 = 216 · 33 · 74 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 2 7- 2 4 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1644,21712] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:168:1] |
Generators of the group modulo torsion |
j |
277706124/45619 |
j-invariant |
L |
9.0100615466751 |
L(r)(E,1)/r! |
Ω |
1.0348252266092 |
Real period |
R |
1.0883554675746 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997344 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
76608c1 19152l1 76608dn1 |
Quadratic twists by: -4 8 -3 |