Atkin-Lehner |
2- 23+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
63296o |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
419328 |
Modular degree for the optimal curve |
Δ |
-6446614785539072 = -1 · 210 · 237 · 432 |
Discriminant |
Eigenvalues |
2- -1 4 4 0 -3 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,24039,-3594767] |
[a1,a2,a3,a4,a6] |
j |
1500219760227584/6295522251503 |
j-invariant |
L |
3.8511721452031 |
L(r)(E,1)/r! |
Ω |
0.21395400818637 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296l1 15824f1 |
Quadratic twists by: -4 8 |