Atkin-Lehner |
2- 3- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
3042k |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-441591905411504874 = -1 · 2 · 36 · 1313 |
Discriminant |
Eigenvalues |
2- 3- -1 -1 -2 13+ 3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-323498,77783203] |
[a1,a2,a3,a4,a6] |
Generators |
[34310:8150791:1000] |
Generators of the group modulo torsion |
j |
-1064019559329/125497034 |
j-invariant |
L |
4.5111433395717 |
L(r)(E,1)/r! |
Ω |
0.28888034773498 |
Real period |
R |
3.9039894673886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24336bl2 97344bc2 338f2 76050bd2 |
Quadratic twists by: -4 8 -3 5 |