Atkin-Lehner |
2- 3- 5+ 7- 79- |
Signs for the Atkin-Lehner involutions |
Class |
33180n |
Isogeny class |
Conductor |
33180 |
Conductor |
∏ cp |
972 |
Product of Tamagawa factors cp |
deg |
2363904 |
Modular degree for the optimal curve |
Δ |
1.6411488027478E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- -6 2 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6359081,-328376256] |
[a1,a2,a3,a4,a6] |
Generators |
[-1871:70875:1] |
Generators of the group modulo torsion |
j |
1777406927644760919752704/1025718001717378843125 |
j-invariant |
L |
6.3932159084666 |
L(r)(E,1)/r! |
Ω |
0.10372102169856 |
Real period |
R |
2.2829101614117 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
6 |
Number of elements in the torsion subgroup |
Twists |
99540y1 |
Quadratic twists by: -3 |