Atkin-Lehner |
2- 3- 5- 47+ |
Signs for the Atkin-Lehner involutions |
Class |
84600cd |
Isogeny class |
Conductor |
84600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
691200 |
Modular degree for the optimal curve |
Δ |
68526000000000 = 210 · 36 · 59 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -5 5 1 -2 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-280875,57293750] |
[a1,a2,a3,a4,a6] |
j |
1680758996/47 |
j-invariant |
L |
2.2962026894412 |
L(r)(E,1)/r! |
Ω |
0.57405067632479 |
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 |
9400g1 84600bb1 |
Quadratic twists by: -3 5 |