Atkin-Lehner |
2- 3+ 17+ 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456l |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-17908862976 = -1 · 212 · 32 · 172 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -2 -4 0 2 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,536,4144] |
[a1,a2,a3,a4,a6] |
Generators |
[-6:26:1] [10:-102:1] |
Generators of the group modulo torsion |
j |
4149995543/4372281 |
j-invariant |
L |
6.050241901395 |
L(r)(E,1)/r! |
Ω |
0.81267266370412 |
Real period |
R |
1.8612173669713 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.9999999999999 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2091a2 100368ca2 |
Quadratic twists by: -4 -3 |