Atkin-Lehner |
2+ 3- 5- 13- 17- |
Signs for the Atkin-Lehner involutions |
Class |
79560bd |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
57344 |
Modular degree for the optimal curve |
Δ |
16703781120 = 28 · 310 · 5 · 13 · 17 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 13- 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-3207,69626] |
[a1,a2,a3,a4,a6] |
Generators |
[-50:324:1] |
Generators of the group modulo torsion |
j |
19545784144/89505 |
j-invariant |
L |
5.6471590134796 |
L(r)(E,1)/r! |
Ω |
1.2413271245914 |
Real period |
R |
2.2746457810079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997777 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520o1 |
Quadratic twists by: -3 |