Atkin-Lehner |
2+ 3+ 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
41496h |
Isogeny class |
Conductor |
41496 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
489984 |
Modular degree for the optimal curve |
Δ |
-1104226524152951472 = -1 · 24 · 311 · 72 · 132 · 196 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7- 2 13+ -4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-149007,-55142892] |
[a1,a2,a3,a4,a6] |
j |
-22867919627021989888/69014157759559467 |
j-invariant |
L |
1.7964756036455 |
L(r)(E,1)/r! |
Ω |
0.11227972523492 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
82992o1 124488bq1 |
Quadratic twists by: -4 -3 |