Atkin-Lehner |
2- 5- 29- 37- |
Signs for the Atkin-Lehner involutions |
Class |
85840k |
Isogeny class |
Conductor |
85840 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-11789608960000 = -1 · 214 · 54 · 292 · 372 |
Discriminant |
Eigenvalues |
2- -2 5- -4 2 6 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8600,345748] |
[a1,a2,a3,a4,a6] |
Generators |
[36:-290:1] |
Generators of the group modulo torsion |
j |
-17175508997401/2878322500 |
j-invariant |
L |
4.20123563319 |
L(r)(E,1)/r! |
Ω |
0.68859370403654 |
Real period |
R |
0.76264777198529 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999992799 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
10730b2 |
Quadratic twists by: -4 |