Atkin-Lehner |
2- 3- 5- 7+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
99540t |
Isogeny class |
Conductor |
99540 |
Conductor |
∏ cp |
192 |
Product of Tamagawa factors cp |
Δ |
8.165058992559E+20 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ -6 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-8648967,-9693257474] |
[a1,a2,a3,a4,a6] |
Generators |
[-1573:4410:1] |
Generators of the group modulo torsion |
j |
383397201636952442704/4375138777734375 |
j-invariant |
L |
7.1402254962027 |
L(r)(E,1)/r! |
Ω |
0.088096371970038 |
Real period |
R |
1.6885451120592 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999702465 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
33180k2 |
Quadratic twists by: -3 |