Atkin-Lehner |
2- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
70720bf |
Isogeny class |
Conductor |
70720 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
245760 |
Modular degree for the optimal curve |
Δ |
482009415680000 = 228 · 54 · 132 · 17 |
Discriminant |
Eigenvalues |
2- -2 5+ 2 0 13- 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-23041,-842241] |
[a1,a2,a3,a4,a6] |
Generators |
[-111:600:1] |
Generators of the group modulo torsion |
j |
5160676199041/1838720000 |
j-invariant |
L |
4.4036021193351 |
L(r)(E,1)/r! |
Ω |
0.39892513479647 |
Real period |
R |
2.759666999355 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001114 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
70720k1 17680k1 |
Quadratic twists by: -4 8 |