Atkin-Lehner |
2- 3- 5- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
23100bg |
Isogeny class |
Conductor |
23100 |
Conductor |
∏ cp |
240 |
Product of Tamagawa factors cp |
Δ |
5578572384000 = 28 · 35 · 53 · 72 · 114 |
Discriminant |
Eigenvalues |
2- 3- 5- 7+ 11- 6 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5068,-81532] |
[a1,a2,a3,a4,a6] |
Generators |
[368:-6930:1] |
Generators of the group modulo torsion |
j |
449955166736/174330387 |
j-invariant |
L |
6.5840311421621 |
L(r)(E,1)/r! |
Ω |
0.58475771735769 |
Real period |
R |
0.18765695451651 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
92400fo2 69300cg2 23100q2 |
Quadratic twists by: -4 -3 5 |