Atkin-Lehner |
2+ 3- 5+ 7+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
117810x |
Isogeny class |
Conductor |
117810 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
13762560 |
Modular degree for the optimal curve |
Δ |
-2.4776752849717E+23 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ 11- -2 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-11362545,-28119528675] |
[a1,a2,a3,a4,a6] |
Generators |
[3747928581083798098:-753724500365271346473:92449642233313] |
Generators of the group modulo torsion |
j |
-222547671126839139797521/339873152945356800000 |
j-invariant |
L |
3.8096555620266 |
L(r)(E,1)/r! |
Ω |
0.039007016932144 |
Real period |
R |
24.416475832211 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000004511 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39270cu1 |
Quadratic twists by: -3 |