Atkin-Lehner |
2- 3- 7+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
17136bd |
Isogeny class |
Conductor |
17136 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
391680 |
Modular degree for the optimal curve |
Δ |
-3019258434341044224 = -1 · 229 · 39 · 75 · 17 |
Discriminant |
Eigenvalues |
2- 3- -1 7+ 5 -1 17- 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2102043,-1176009014] |
[a1,a2,a3,a4,a6] |
j |
-344002044213921241/1011143540736 |
j-invariant |
L |
2.2564993369309 |
L(r)(E,1)/r! |
Ω |
0.062680537136969 |
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 |
2142s1 68544dw1 5712q1 119952et1 |
Quadratic twists by: -4 8 -3 -7 |