Atkin-Lehner |
2- 11+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
10406f |
Isogeny class |
Conductor |
10406 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
36960 |
Modular degree for the optimal curve |
Δ |
-103825152730112 = -1 · 210 · 119 · 43 |
Discriminant |
Eigenvalues |
2- -1 2 -2 11+ 6 0 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,10343,280743] |
[a1,a2,a3,a4,a6] |
Generators |
[171:2576:1] |
Generators of the group modulo torsion |
j |
51895117/44032 |
j-invariant |
L |
6.0080224270765 |
L(r)(E,1)/r! |
Ω |
0.38676294936822 |
Real period |
R |
0.77670604654488 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
83248s1 93654j1 10406a1 |
Quadratic twists by: -4 -3 -11 |