Atkin-Lehner |
2+ 3+ 17- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
33456b |
Isogeny class |
Conductor |
33456 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
26432 |
Modular degree for the optimal curve |
Δ |
-24389424 = -1 · 24 · 37 · 17 · 41 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -5 0 4 17- 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1059,13626] |
[a1,a2,a3,a4,a6] |
j |
-8216779712512/1524339 |
j-invariant |
L |
2.0644094866631 |
L(r)(E,1)/r! |
Ω |
2.0644094866663 |
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 |
16728j1 100368r1 |
Quadratic twists by: -4 -3 |