Atkin-Lehner |
2+ 3- 29+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
129456k |
Isogeny class |
Conductor |
129456 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
3.0812384787631E+20 |
Discriminant |
Eigenvalues |
2+ 3- 2 0 4 6 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2263179,1002036490] |
[a1,a2,a3,a4,a6] |
Generators |
[206833:34040790:1331] |
Generators of the group modulo torsion |
j |
1717326775153345828/412760212883001 |
j-invariant |
L |
9.9954317904529 |
L(r)(E,1)/r! |
Ω |
0.16182097966348 |
Real period |
R |
7.7210568218776 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999588047 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
64728d4 43152k4 |
Quadratic twists by: -4 -3 |