Atkin-Lehner |
2- 5- 7- 31- |
Signs for the Atkin-Lehner involutions |
Class |
10850bd |
Isogeny class |
Conductor |
10850 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
8064 |
Modular degree for the optimal curve |
Δ |
-11536805000 = -1 · 23 · 54 · 74 · 312 |
Discriminant |
Eigenvalues |
2- -1 5- 7- 3 -4 -5 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-538,6831] |
[a1,a2,a3,a4,a6] |
Generators |
[39:197:1] |
Generators of the group modulo torsion |
j |
-27557573425/18458888 |
j-invariant |
L |
5.6526092315114 |
L(r)(E,1)/r! |
Ω |
1.17543953087 |
Real period |
R |
0.20037218288207 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86800ci1 97650cf1 10850f1 75950dc1 |
Quadratic twists by: -4 -3 5 -7 |