Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400cn |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
27648 |
Modular degree for the optimal curve |
Δ |
-25380000000 = -1 · 28 · 33 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ -1 0 -1 1 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,92,7688] |
[a1,a2,a3,a4,a6] |
Generators |
[23:150:1] |
Generators of the group modulo torsion |
j |
21296/6345 |
j-invariant |
L |
7.6413704919925 |
L(r)(E,1)/r! |
Ω |
0.92446127119352 |
Real period |
R |
1.3776258545041 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999998545 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
14100c1 11280k1 |
Quadratic twists by: -4 5 |