Atkin-Lehner |
2- 7+ 11- 19- |
Signs for the Atkin-Lehner involutions |
Class |
11704f |
Isogeny class |
Conductor |
11704 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
16128 |
Modular degree for the optimal curve |
Δ |
-1146044069632 = -1 · 28 · 7 · 116 · 192 |
Discriminant |
Eigenvalues |
2- 2 2 7+ 11- 4 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-932,-52348] |
[a1,a2,a3,a4,a6] |
j |
-350104249168/4476734647 |
j-invariant |
L |
4.4477409433805 |
L(r)(E,1)/r! |
Ω |
0.37064507861504 |
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 |
23408d1 93632d1 105336n1 81928u1 |
Quadratic twists by: -4 8 -3 -7 |