Atkin-Lehner |
2+ 23- 43- |
Signs for the Atkin-Lehner involutions |
Class |
63296n |
Isogeny class |
Conductor |
63296 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-7669960146944 = -1 · 222 · 23 · 433 |
Discriminant |
Eigenvalues |
2+ -3 2 2 -5 -1 4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,4916,12400] |
[a1,a2,a3,a4,a6] |
Generators |
[72:860:1] |
Generators of the group modulo torsion |
j |
50120963703/29258576 |
j-invariant |
L |
4.2677837107368 |
L(r)(E,1)/r! |
Ω |
0.4480230746846 |
Real period |
R |
1.5876353816172 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999615 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
63296p1 1978b1 |
Quadratic twists by: -4 8 |