Atkin-Lehner |
2- 3- 5- 89- |
Signs for the Atkin-Lehner involutions |
Class |
32040k |
Isogeny class |
Conductor |
32040 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
14400 |
Modular degree for the optimal curve |
Δ |
-664381440 = -1 · 211 · 36 · 5 · 89 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 -1 6 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,213,326] |
[a1,a2,a3,a4,a6] |
Generators |
[650:16576:1] |
Generators of the group modulo torsion |
j |
715822/445 |
j-invariant |
L |
6.4865268389159 |
L(r)(E,1)/r! |
Ω |
0.99982771195809 |
Real period |
R |
6.4876445824975 |
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 |
64080h1 3560b1 |
Quadratic twists by: -4 -3 |