Atkin-Lehner |
2- 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
104400fi |
Isogeny class |
Conductor |
104400 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
967680 |
Modular degree for the optimal curve |
Δ |
-2145321028800000000 = -1 · 212 · 313 · 58 · 292 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 -2 -3 -4 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-552000,172870000] |
[a1,a2,a3,a4,a6] |
j |
-15947530240/1839267 |
j-invariant |
L |
1.0134561958039 |
L(r)(E,1)/r! |
Ω |
0.25336403862435 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6525i1 34800dq1 104400ds1 |
Quadratic twists by: -4 -3 5 |