Atkin-Lehner |
2+ 5+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
72200l |
Isogeny class |
Conductor |
72200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
48384 |
Modular degree for the optimal curve |
Δ |
7220000000 = 28 · 57 · 192 |
Discriminant |
Eigenvalues |
2+ -2 5+ -4 1 -4 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-633,4363] |
[a1,a2,a3,a4,a6] |
Generators |
[23:-50:1] [-21:94:1] |
Generators of the group modulo torsion |
j |
19456/5 |
j-invariant |
L |
6.1482281044908 |
L(r)(E,1)/r! |
Ω |
1.2398157991748 |
Real period |
R |
0.30993657024869 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998515 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14440k1 72200z1 |
Quadratic twists by: 5 -19 |