Atkin-Lehner |
2- 3- 5+ 7- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
119700z |
Isogeny class |
Conductor |
119700 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
1209600 |
Modular degree for the optimal curve |
Δ |
-228137881860000000 = -1 · 28 · 36 · 57 · 77 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 2 0 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-436575,-113382250] |
[a1,a2,a3,a4,a6] |
j |
-3155824042576/78236585 |
j-invariant |
L |
2.59643181832 |
L(r)(E,1)/r! |
Ω |
0.092729677214437 |
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 |
13300j1 23940h1 |
Quadratic twists by: -3 5 |