Atkin-Lehner |
2+ 5+ 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200a |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
46080 |
Modular degree for the optimal curve |
Δ |
-16912043750000 = -1 · 24 · 58 · 76 · 23 |
Discriminant |
Eigenvalues |
2+ 1 5+ 7+ -2 1 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4508,228113] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-343:1] |
Generators of the group modulo torsion |
j |
-40535147776/67648175 |
j-invariant |
L |
5.9538583846106 |
L(r)(E,1)/r! |
Ω |
0.6213095406332 |
Real period |
R |
1.1978446320298 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400t1 6440k1 |
Quadratic twists by: -4 5 |