Atkin-Lehner |
2+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
14896d |
Isogeny class |
Conductor |
14896 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-95121819184 = -1 · 24 · 74 · 195 |
Discriminant |
Eigenvalues |
2+ 2 -1 7+ 1 2 -2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-3691,-86358] |
[a1,a2,a3,a4,a6] |
Generators |
[5082520017462:-11226172714758:69781869613] |
Generators of the group modulo torsion |
j |
-144797599744/2476099 |
j-invariant |
L |
6.5241312036621 |
L(r)(E,1)/r! |
Ω |
0.30593762600034 |
Real period |
R |
21.325037031094 |
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 |
7448n1 59584cb1 14896u1 |
Quadratic twists by: -4 8 -7 |