Atkin-Lehner |
2- 5+ 7+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
53200bx |
Isogeny class |
Conductor |
53200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-5447680000000 = -1 · 219 · 57 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 2 5+ 7+ 3 -1 5 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-163408,-25370688] |
[a1,a2,a3,a4,a6] |
Generators |
[4269500376738:7099687528650:9116230969] |
Generators of the group modulo torsion |
j |
-7539913083529/85120 |
j-invariant |
L |
9.2794278108885 |
L(r)(E,1)/r! |
Ω |
0.11872733367607 |
Real period |
R |
19.53936705975 |
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 |
6650z1 10640s1 |
Quadratic twists by: -4 5 |