Atkin-Lehner |
2- 3- 5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
81840ct |
Isogeny class |
Conductor |
81840 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
479232 |
Modular degree for the optimal curve |
Δ |
-2474059707187200 = -1 · 225 · 32 · 52 · 11 · 313 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 11+ 2 7 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9336,2415060] |
[a1,a2,a3,a4,a6] |
Generators |
[6:-1536:1] |
Generators of the group modulo torsion |
j |
-21973174804729/604018483200 |
j-invariant |
L |
7.154027541584 |
L(r)(E,1)/r! |
Ω |
0.38304152760359 |
Real period |
R |
1.167306124863 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000002246 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
10230e1 |
Quadratic twists by: -4 |