Atkin-Lehner |
2- 5- 13+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
104780k |
Isogeny class |
Conductor |
104780 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-191527781120 = -1 · 28 · 5 · 136 · 31 |
Discriminant |
Eigenvalues |
2- 1 5- 4 0 13+ -3 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-17125,857143] |
[a1,a2,a3,a4,a6] |
Generators |
[474:1859:8] |
Generators of the group modulo torsion |
j |
-449511424/155 |
j-invariant |
L |
10.553732665347 |
L(r)(E,1)/r! |
Ω |
0.9883677412293 |
Real period |
R |
2.6694853079754 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008521 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
620a1 |
Quadratic twists by: 13 |