Atkin-Lehner |
2- 3- 5- 13- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
71760cc |
Isogeny class |
Conductor |
71760 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
deg |
6144000 |
Modular degree for the optimal curve |
Δ |
-1.8815037192237E+23 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 4 13- 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,8333520,18705548628] |
[a1,a2,a3,a4,a6] |
Generators |
[171:141900:1] |
Generators of the group modulo torsion |
j |
15626048148436249676879/45935149395109478400 |
j-invariant |
L |
9.515569010583 |
L(r)(E,1)/r! |
Ω |
0.071058132715303 |
Real period |
R |
6.695622757416 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000443 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8970o1 |
Quadratic twists by: -4 |