Atkin-Lehner |
2+ 3- 7+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
40992j |
Isogeny class |
Conductor |
40992 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
6720 |
Modular degree for the optimal curve |
Δ |
-5902848 = -1 · 29 · 33 · 7 · 61 |
Discriminant |
Eigenvalues |
2+ 3- 0 7+ 3 1 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-8,-120] |
[a1,a2,a3,a4,a6] |
Generators |
[10:30:1] |
Generators of the group modulo torsion |
j |
-125000/11529 |
j-invariant |
L |
7.5887331876766 |
L(r)(E,1)/r! |
Ω |
1.0590489665045 |
Real period |
R |
1.1942685415079 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40992p1 81984b1 122976bf1 |
Quadratic twists by: -4 8 -3 |