Atkin-Lehner |
2- 3- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
110682bu |
Isogeny class |
Conductor |
110682 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
337920 |
Modular degree for the optimal curve |
Δ |
-279517167525024 = -1 · 25 · 317 · 112 · 13 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 -2 11- 13+ -2 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-7493,-840355] |
[a1,a2,a3,a4,a6] |
Generators |
[837:23638:1] |
Generators of the group modulo torsion |
j |
-63812982460681/383425469856 |
j-invariant |
L |
8.5541295759198 |
L(r)(E,1)/r! |
Ω |
0.22950038114348 |
Real period |
R |
0.93182084377852 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000027747 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36894l1 |
Quadratic twists by: -3 |