Atkin-Lehner |
2- 5- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
32960s |
Isogeny class |
Conductor |
32960 |
Conductor |
∏ cp |
28 |
Product of Tamagawa factors cp |
deg |
80640 |
Modular degree for the optimal curve |
Δ |
-67502080000000 = -1 · 223 · 57 · 103 |
Discriminant |
Eigenvalues |
2- 0 5- 2 -3 5 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-5132,419856] |
[a1,a2,a3,a4,a6] |
Generators |
[2:640:1] |
Generators of the group modulo torsion |
j |
-57022169049/257500000 |
j-invariant |
L |
6.5852524455589 |
L(r)(E,1)/r! |
Ω |
0.53759809900402 |
Real period |
R |
0.43747845793561 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999999 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32960i1 8240g1 |
Quadratic twists by: -4 8 |