Atkin-Lehner |
2- 3+ 11+ 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
110682bb |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
449280 |
Modular degree for the optimal curve |
Δ |
-4923289540026 = -1 · 2 · 39 · 112 · 13 · 433 |
Discriminant |
Eigenvalues |
2- 3+ -3 -2 11+ 13- -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-69689,-7064333] |
[a1,a2,a3,a4,a6] |
Generators |
[13950166:133728077:39304] |
Generators of the group modulo torsion |
j |
-1901600466436971/250129022 |
j-invariant |
L |
6.8366928058812 |
L(r)(E,1)/r! |
Ω |
0.14691818701755 |
Real period |
R |
11.633503266437 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999584748 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110682j1 |
Quadratic twists by: -3 |