Atkin-Lehner |
3- 11- 83- |
Signs for the Atkin-Lehner involutions |
Class |
8217l |
Isogeny class |
Conductor |
8217 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
25920 |
Modular degree for the optimal curve |
Δ |
4755500409033 = 316 · 113 · 83 |
Discriminant |
Eigenvalues |
-1 3- 4 2 11- 2 -4 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-21443,1209354] |
[a1,a2,a3,a4,a6] |
j |
1495663284827881/6523320177 |
j-invariant |
L |
2.3250412032163 |
L(r)(E,1)/r! |
Ω |
0.77501373440542 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
2739a1 90387k1 |
Quadratic twists by: -3 -11 |