Atkin-Lehner |
2- 5+ 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
41650bu |
Isogeny class |
Conductor |
41650 |
Conductor |
∏ cp |
80 |
Product of Tamagawa factors cp |
Δ |
240740972160500000 = 25 · 56 · 78 · 174 |
Discriminant |
Eigenvalues |
2- 2 5+ 7- -4 -4 17+ 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-157438,4501531] |
[a1,a2,a3,a4,a6] |
Generators |
[-365:3857:1] |
Generators of the group modulo torsion |
j |
234770924809/130960928 |
j-invariant |
L |
12.111817174627 |
L(r)(E,1)/r! |
Ω |
0.27062116820449 |
Real period |
R |
2.2377808164438 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999951 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
1666g2 5950n2 |
Quadratic twists by: 5 -7 |