Atkin-Lehner |
2- 5- 7+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
32200y |
Isogeny class |
Conductor |
32200 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
61440 |
Modular degree for the optimal curve |
Δ |
-128800000000 = -1 · 211 · 58 · 7 · 23 |
Discriminant |
Eigenvalues |
2- 0 5- 7+ -4 5 3 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-78875,-8526250] |
[a1,a2,a3,a4,a6] |
Generators |
[47230857535184886998:-24495785390713652248802:175587777511973] |
Generators of the group modulo torsion |
j |
-67834689570/161 |
j-invariant |
L |
4.8955689537434 |
L(r)(E,1)/r! |
Ω |
0.14244088197544 |
Real period |
R |
34.369128341874 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
64400z1 32200i1 |
Quadratic twists by: -4 5 |