Atkin-Lehner |
2- 5- 53+ |
Signs for the Atkin-Lehner involutions |
Class |
21200x |
Isogeny class |
Conductor |
21200 |
Conductor |
∏ cp |
3 |
Product of Tamagawa factors cp |
deg |
8640 |
Modular degree for the optimal curve |
Δ |
135680000 = 212 · 54 · 53 |
Discriminant |
Eigenvalues |
2- 2 5- 3 5 -6 -3 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-133,237] |
[a1,a2,a3,a4,a6] |
Generators |
[12:15:1] |
Generators of the group modulo torsion |
j |
102400/53 |
j-invariant |
L |
8.1448523034926 |
L(r)(E,1)/r! |
Ω |
1.6240571931543 |
Real period |
R |
1.6717088408431 |
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 |
1325e1 84800cr1 21200u1 |
Quadratic twists by: -4 8 5 |