Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14896f |
Isogeny class |
Conductor |
14896 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-112159968256 = -1 · 210 · 78 · 19 |
Discriminant |
Eigenvalues |
2+ -2 1 7+ 3 4 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-800,18052] |
[a1,a2,a3,a4,a6] |
Generators |
[16:98:1] |
Generators of the group modulo torsion |
j |
-9604/19 |
j-invariant |
L |
3.9477898152211 |
L(r)(E,1)/r! |
Ω |
0.93866221191534 |
Real period |
R |
0.35048016253948 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7448c1 59584bz1 14896t1 |
Quadratic twists by: -4 8 -7 |