Atkin-Lehner |
2+ 3- 13- 67+ |
Signs for the Atkin-Lehner involutions |
Class |
41808f |
Isogeny class |
Conductor |
41808 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
14080 |
Modular degree for the optimal curve |
Δ |
-2817524736 = -1 · 210 · 35 · 132 · 67 |
Discriminant |
Eigenvalues |
2+ 3- 1 -1 -2 13- -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-200,-2844] |
[a1,a2,a3,a4,a6] |
Generators |
[40:-234:1] |
Generators of the group modulo torsion |
j |
-868327204/2751489 |
j-invariant |
L |
7.3535507470583 |
L(r)(E,1)/r! |
Ω |
0.58512036486932 |
Real period |
R |
0.62837932061235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999968 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20904b1 125424h1 |
Quadratic twists by: -4 -3 |