Atkin-Lehner |
2- 3+ 5+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
104400dk |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
207360 |
Modular degree for the optimal curve |
Δ |
-1603584000000 = -1 · 217 · 33 · 56 · 29 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -5 -4 6 -1 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,525,-60750] |
[a1,a2,a3,a4,a6] |
Generators |
[39:138:1] |
Generators of the group modulo torsion |
j |
9261/928 |
j-invariant |
L |
4.7795259535189 |
L(r)(E,1)/r! |
Ω |
0.40065623132168 |
Real period |
R |
2.9823109991235 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000023782 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13050e1 104400cz1 4176v1 |
Quadratic twists by: -4 -3 5 |