Atkin-Lehner |
3+ 5+ 11- 37- |
Signs for the Atkin-Lehner involutions |
Class |
67155b |
Isogeny class |
Conductor |
67155 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3991680 |
Modular degree for the optimal curve |
Δ |
-4.42722050428E+21 |
Discriminant |
Eigenvalues |
1 3+ 5+ 1 11- -3 6 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7445253,-8452332918] |
[a1,a2,a3,a4,a6] |
Generators |
[6414335538985869681035960643051972504573792:1212693858623499942227219517883007329403690085:177465256439402996567713076380059926528] |
Generators of the group modulo torsion |
j |
-1759686622641409/170688515625 |
j-invariant |
L |
6.0451737350448 |
L(r)(E,1)/r! |
Ω |
0.045447958541514 |
Real period |
R |
66.506548688242 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
67155e1 |
Quadratic twists by: -11 |