Atkin-Lehner |
2+ 3+ 5- 13+ 73- |
Signs for the Atkin-Lehner involutions |
Class |
28470d |
Isogeny class |
Conductor |
28470 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
-13698141210000 = -1 · 24 · 32 · 54 · 134 · 732 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -2 2 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-5657,-244299] |
[a1,a2,a3,a4,a6] |
Generators |
[182:-2281:1] |
Generators of the group modulo torsion |
j |
-20026368247731481/13698141210000 |
j-invariant |
L |
3.5982693477971 |
L(r)(E,1)/r! |
Ω |
0.26712368530988 |
Real period |
R |
0.84190151081674 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
85410u2 |
Quadratic twists by: -3 |