Atkin-Lehner |
2+ 3+ 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
16170j |
Isogeny class |
Conductor |
16170 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
15336002626560 = 210 · 38 · 5 · 73 · 113 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 11- 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-7018,122452] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:451:1] |
Generators of the group modulo torsion |
j |
111472148624383/44711377920 |
j-invariant |
L |
2.8563924889259 |
L(r)(E,1)/r! |
Ω |
0.6351368719052 |
Real period |
R |
0.74954775242847 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
129360gb1 48510ea1 80850gw1 16170bg1 |
Quadratic twists by: -4 -3 5 -7 |