Atkin-Lehner |
2+ 3- 5- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
61920s |
Isogeny class |
Conductor |
61920 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
1806336 |
Modular degree for the optimal curve |
Δ |
2.4101679726562E+20 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 2 -2 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3007857,1863759944] |
[a1,a2,a3,a4,a6] |
Generators |
[-1912:25000:1] |
Generators of the group modulo torsion |
j |
64504166108617130176/5165826416015625 |
j-invariant |
L |
6.7573394373806 |
L(r)(E,1)/r! |
Ω |
0.17182063231798 |
Real period |
R |
2.8091335490415 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000168 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
61920y1 123840fl1 20640n1 |
Quadratic twists by: -4 8 -3 |