Atkin-Lehner |
2- 5+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
43120bx |
Isogeny class |
Conductor |
43120 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
98304 |
Modular degree for the optimal curve |
Δ |
-10204027187200 = -1 · 212 · 52 · 77 · 112 |
Discriminant |
Eigenvalues |
2- -2 5+ 7- 11- -4 4 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-16,153684] |
[a1,a2,a3,a4,a6] |
Generators |
[100:-1078:1] [-36:330:1] |
Generators of the group modulo torsion |
j |
-1/21175 |
j-invariant |
L |
6.2723003800328 |
L(r)(E,1)/r! |
Ω |
0.57509337184245 |
Real period |
R |
0.68166108834837 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2695b1 6160l1 |
Quadratic twists by: -4 -7 |