Atkin-Lehner |
3+ 5+ 29+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
48285a |
Isogeny class |
Conductor |
48285 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1061787580897995675 = 39 · 52 · 292 · 376 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 4 0 2 -2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2999108,-1997743148] |
[a1,a2,a3,a4,a6] |
Generators |
[-49918106:17685104:50653] |
Generators of the group modulo torsion |
j |
151568376851855769723/53944397749225 |
j-invariant |
L |
4.0216377744925 |
L(r)(E,1)/r! |
Ω |
0.11472572632786 |
Real period |
R |
8.7635918795517 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000006 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48285b2 |
Quadratic twists by: -3 |