Atkin-Lehner |
3- 5+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
45675v |
Isogeny class |
Conductor |
45675 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
1650221246337890625 = 38 · 514 · 72 · 292 |
Discriminant |
Eigenvalues |
-1 3- 5+ 7- -4 2 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1785380,-915685378] |
[a1,a2,a3,a4,a6] |
Generators |
[1800:40333:1] |
Generators of the group modulo torsion |
j |
55254534707337841/144875390625 |
j-invariant |
L |
3.0203276021119 |
L(r)(E,1)/r! |
Ω |
0.13062771897767 |
Real period |
R |
5.7804109758961 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999094 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
15225x2 9135c2 |
Quadratic twists by: -3 5 |