Atkin-Lehner |
2- 3- 5- 7- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
110880du |
Isogeny class |
Conductor |
110880 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
589824 |
Modular degree for the optimal curve |
Δ |
1906108281000000 = 26 · 38 · 56 · 74 · 112 |
Discriminant |
Eigenvalues |
2- 3- 5- 7- 11+ 6 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-56577,-4734704] |
[a1,a2,a3,a4,a6] |
Generators |
[-148:630:1] |
Generators of the group modulo torsion |
j |
429275354481856/40854515625 |
j-invariant |
L |
9.0845295025061 |
L(r)(E,1)/r! |
Ω |
0.31144695222237 |
Real period |
R |
1.2153660813239 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000019593 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110880dq1 36960w1 |
Quadratic twists by: -4 -3 |