Atkin-Lehner |
2- 3- 13- |
Signs for the Atkin-Lehner involutions |
Class |
3042o |
Isogeny class |
Conductor |
3042 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
Δ |
-253318923646304256 = -1 · 215 · 36 · 139 |
Discriminant |
Eigenvalues |
2- 3- -3 3 0 13- 3 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-489794,-134018751] |
[a1,a2,a3,a4,a6] |
j |
-1680914269/32768 |
j-invariant |
L |
2.7038693333494 |
L(r)(E,1)/r! |
Ω |
0.090128977778313 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
24336ch2 97344dk2 338d2 76050cd2 |
Quadratic twists by: -4 8 -3 5 |