Atkin-Lehner |
2+ 3+ 5- 11+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
14190d |
Isogeny class |
Conductor |
14190 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
39168 |
Modular degree for the optimal curve |
Δ |
-3276305374320 = -1 · 24 · 32 · 5 · 113 · 434 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 0 11+ 2 6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-1217,88101] |
[a1,a2,a3,a4,a6] |
j |
-199596497460121/3276305374320 |
j-invariant |
L |
1.3431081050076 |
L(r)(E,1)/r! |
Ω |
0.67155405250379 |
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 |
113520bv1 42570v1 70950bu1 |
Quadratic twists by: -4 -3 5 |