Atkin-Lehner |
2- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
12584l |
Isogeny class |
Conductor |
12584 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
49920 |
Modular degree for the optimal curve |
Δ |
-5707090847744 = -1 · 211 · 118 · 13 |
Discriminant |
Eigenvalues |
2- 3 3 3 11- 13- 5 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,3509,-82522] |
[a1,a2,a3,a4,a6] |
j |
1317006/1573 |
j-invariant |
L |
7.3405569340041 |
L(r)(E,1)/r! |
Ω |
0.40780871855578 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25168m1 100672bd1 113256z1 1144a1 |
Quadratic twists by: -4 8 -3 -11 |