Atkin-Lehner |
2- 3+ 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
44352dc |
Isogeny class |
Conductor |
44352 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
110592 |
Modular degree for the optimal curve |
Δ |
177991783022592 = 224 · 39 · 72 · 11 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 11+ 4 2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-14796,260496] |
[a1,a2,a3,a4,a6] |
Generators |
[-36:864:1] |
Generators of the group modulo torsion |
j |
69426531/34496 |
j-invariant |
L |
5.3368501547111 |
L(r)(E,1)/r! |
Ω |
0.50541543019548 |
Real period |
R |
2.6398334102334 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
44352d1 11088bd1 44352df1 |
Quadratic twists by: -4 8 -3 |