Atkin-Lehner |
2- 5- 7- |
Signs for the Atkin-Lehner involutions |
Class |
19600du |
Isogeny class |
Conductor |
19600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-73789452800000000 = -1 · 215 · 58 · 78 |
Discriminant |
Eigenvalues |
2- 1 5- 7- -3 -2 -3 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,87792,8429588] |
[a1,a2,a3,a4,a6] |
j |
397535/392 |
j-invariant |
L |
0.90831639884722 |
L(r)(E,1)/r! |
Ω |
0.22707909971181 |
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 |
2450bf1 78400kn1 19600ck1 2800z1 |
Quadratic twists by: -4 8 5 -7 |