Atkin-Lehner |
2+ 3- 5- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
112710bl |
Isogeny class |
Conductor |
112710 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
3840769979280 = 24 · 32 · 5 · 13 · 177 |
Discriminant |
Eigenvalues |
2+ 3- 5- 4 4 13+ 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-60263,5688218] |
[a1,a2,a3,a4,a6] |
Generators |
[4449:10964:27] |
Generators of the group modulo torsion |
j |
1002702430729/159120 |
j-invariant |
L |
8.8672711687883 |
L(r)(E,1)/r! |
Ω |
0.75927311697611 |
Real period |
R |
5.839315907356 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999873867 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6630c1 |
Quadratic twists by: 17 |