Atkin-Lehner |
2+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63296l |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
14 |
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] |
Generators |
[-1148:113735:64] |
Generators of the group modulo torsion |
j |
1500219760227584/6295522251503 |
j-invariant |
L |
8.0638842087732 |
L(r)(E,1)/r! |
Ω |
0.30207390665487 |
Real period |
R |
1.9067907438596 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000047 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296o1 3956b1 |
Quadratic twists by: -4 8 |