Atkin-Lehner |
5+ 7- 59- |
Signs for the Atkin-Lehner involutions |
Class |
121835c |
Isogeny class |
Conductor |
121835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-576686983373046875 = -1 · 59 · 7 · 596 |
Discriminant |
Eigenvalues |
0 1 5+ 7- 3 -5 3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-457171,124309185] |
[a1,a2,a3,a4,a6] |
Generators |
[227418783:1830789881:658503] |
Generators of the group modulo torsion |
j |
-250523582464/13671875 |
j-invariant |
L |
6.2434551442493 |
L(r)(E,1)/r! |
Ω |
0.28707231297018 |
Real period |
R |
10.874359742609 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998998758 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35a2 |
Quadratic twists by: -59 |