Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
33840bv |
Isogeny class |
Conductor |
33840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2003546741760000 = 213 · 311 · 54 · 472 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 -2 0 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-369723,-86502422] |
[a1,a2,a3,a4,a6] |
Generators |
[1679:63450:1] |
Generators of the group modulo torsion |
j |
1871826712886521/670983750 |
j-invariant |
L |
3.2640537172521 |
L(r)(E,1)/r! |
Ω |
0.19361534771509 |
Real period |
R |
4.2146112843994 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
4230bd2 11280bd2 |
Quadratic twists by: -4 -3 |