Atkin-Lehner |
2+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
67760b |
Isogeny class |
Conductor |
67760 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
3446784 |
Modular degree for the optimal curve |
Δ |
-4.3497917462478E+20 |
Discriminant |
Eigenvalues |
2+ 2 5+ 7+ 11+ -6 2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-4205516,-3466479520] |
[a1,a2,a3,a4,a6] |
Generators |
[50545278616667825893388860348469903174499579:13384682521373711470339294235106190453631408068:720185102030937750732630848001990799431] |
Generators of the group modulo torsion |
j |
-13627228947824/720600125 |
j-invariant |
L |
7.0347127993496 |
L(r)(E,1)/r! |
Ω |
0.05255097100634 |
Real period |
R |
66.932281780164 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.00000000013 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33880c1 67760h1 |
Quadratic twists by: -4 -11 |