Atkin-Lehner |
2- 3- 5+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
56400cq |
Isogeny class |
Conductor |
56400 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
152064 |
Modular degree for the optimal curve |
Δ |
-10964160000000 = -1 · 212 · 36 · 57 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5+ 2 6 -5 -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,3467,-137437] |
[a1,a2,a3,a4,a6] |
Generators |
[38:225:1] |
Generators of the group modulo torsion |
j |
71991296/171315 |
j-invariant |
L |
8.6932296564138 |
L(r)(E,1)/r! |
Ω |
0.37207675550341 |
Real period |
R |
0.97350317370265 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000194 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3525f1 11280m1 |
Quadratic twists by: -4 5 |