Atkin-Lehner |
2+ 3- 5+ 13- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
79560l |
Isogeny class |
Conductor |
79560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1474560 |
Modular degree for the optimal curve |
Δ |
2565474427094042880 = 28 · 322 · 5 · 13 · 173 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -2 -4 13- 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-879303,307864442] |
[a1,a2,a3,a4,a6] |
Generators |
[5939:452288:1] |
Generators of the group modulo torsion |
j |
402876451435348816/13746755117745 |
j-invariant |
L |
4.0856736897816 |
L(r)(E,1)/r! |
Ω |
0.25510886576811 |
Real period |
R |
8.0077061942465 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001333 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
26520w1 |
Quadratic twists by: -3 |