Atkin-Lehner |
2- 23+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
63296q |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
16896 |
Modular degree for the optimal curve |
Δ |
-43547648 = -1 · 210 · 23 · 432 |
Discriminant |
Eigenvalues |
2- -1 0 4 -4 5 -2 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,87,-95] |
[a1,a2,a3,a4,a6] |
Generators |
[74:301:8] |
Generators of the group modulo torsion |
j |
70304000/42527 |
j-invariant |
L |
5.2480920755128 |
L(r)(E,1)/r! |
Ω |
1.1780215525336 |
Real period |
R |
2.2275025717283 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997575 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296h1 15824c1 |
Quadratic twists by: -4 8 |