Atkin-Lehner |
2- 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
14196a |
Isogeny class |
Conductor |
14196 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
96768 |
Modular degree for the optimal curve |
Δ |
-737753891906304 = -1 · 28 · 38 · 7 · 137 |
Discriminant |
Eigenvalues |
2- 3+ -1 7+ 6 13+ -8 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-61741,-6027191] |
[a1,a2,a3,a4,a6] |
j |
-21064523776/597051 |
j-invariant |
L |
1.2094554439811 |
L(r)(E,1)/r! |
Ω |
0.15118193049764 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56784cx1 42588g1 99372bj1 1092c1 |
Quadratic twists by: -4 -3 -7 13 |