Atkin-Lehner |
2- 5+ 7+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
32200r |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-725788000000 = -1 · 28 · 56 · 73 · 232 |
Discriminant |
Eigenvalues |
2- -2 5+ 7+ 4 2 4 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2092,-17312] |
[a1,a2,a3,a4,a6] |
Generators |
[54:506:1] |
Generators of the group modulo torsion |
j |
253012016/181447 |
j-invariant |
L |
4.0460128569992 |
L(r)(E,1)/r! |
Ω |
0.50743913289616 |
Real period |
R |
1.9933488544267 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
64400p1 1288d1 |
Quadratic twists by: -4 5 |