Atkin-Lehner |
2- 3+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
41262u |
Isogeny class |
Conductor |
41262 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-1184384448 = -1 · 26 · 32 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3+ 0 -2 -4 13- -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-793,8423] |
[a1,a2,a3,a4,a6] |
Generators |
[13:-30:1] [-7:120:1] |
Generators of the group modulo torsion |
j |
-4533086375/97344 |
j-invariant |
L |
10.772264337198 |
L(r)(E,1)/r! |
Ω |
1.5393496228196 |
Real period |
R |
0.58316101908177 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999989 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
123786s1 41262t1 |
Quadratic twists by: -3 -23 |