Atkin-Lehner |
2- 3- 5+ 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400ds |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-137300545843200 = -1 · 212 · 313 · 52 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5+ 1 -2 3 4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22080,1382960] |
[a1,a2,a3,a4,a6] |
Generators |
[1058:7047:8] |
Generators of the group modulo torsion |
j |
-15947530240/1839267 |
j-invariant |
L |
7.4378428932454 |
L(r)(E,1)/r! |
Ω |
0.56653921341794 |
Real period |
R |
1.6410697464412 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999821765 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6525c1 34800by1 104400fi1 |
Quadratic twists by: -4 -3 5 |