Atkin-Lehner |
2+ 3+ 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
6450c |
Isogeny class |
Conductor |
6450 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
69120 |
Modular degree for the optimal curve |
Δ |
528980625000000 = 26 · 39 · 510 · 43 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-439150,111824500] |
[a1,a2,a3,a4,a6] |
Generators |
[255:3935:1] |
Generators of the group modulo torsion |
j |
599437478278595809/33854760000 |
j-invariant |
L |
2.3376216407534 |
L(r)(E,1)/r! |
Ω |
0.49261544763653 |
Real period |
R |
2.3726637603112 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
51600dh1 19350ca1 1290n1 |
Quadratic twists by: -4 -3 5 |