Atkin-Lehner |
2+ 3- 5- 13- 73- |
Signs for the Atkin-Lehner involutions |
Class |
85410o |
Isogeny class |
Conductor |
85410 |
Conductor |
∏ cp |
216 |
Product of Tamagawa factors cp |
Δ |
-86407361929687500 = -1 · 22 · 37 · 59 · 13 · 733 |
Discriminant |
Eigenvalues |
2+ 3- 5- 2 0 13- 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,91746,-9275472] |
[a1,a2,a3,a4,a6] |
Generators |
[144:2556:1] |
Generators of the group modulo torsion |
j |
117153410812787231/118528617187500 |
j-invariant |
L |
6.0359189681168 |
L(r)(E,1)/r! |
Ω |
0.18509039603907 |
Real period |
R |
1.3587772732194 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000001689 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
28470q2 |
Quadratic twists by: -3 |