Atkin-Lehner |
2+ 3+ 7- 11- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
105336g |
Isogeny class |
Conductor |
105336 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
817920 |
Modular degree for the optimal curve |
Δ |
-7685638880274432 = -1 · 211 · 39 · 7 · 11 · 195 |
Discriminant |
Eigenvalues |
2+ 3+ 4 7- 11- 3 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,45117,2045790] |
[a1,a2,a3,a4,a6] |
Generators |
[9462488069670:234558840168927:18191447000] |
Generators of the group modulo torsion |
j |
251955074394/190659623 |
j-invariant |
L |
10.972498556443 |
L(r)(E,1)/r! |
Ω |
0.26659492297885 |
Real period |
R |
20.578971335688 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
105336bf1 |
Quadratic twists by: -3 |