Atkin-Lehner |
2- 3- 5- 13+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
96720di |
Isogeny class |
Conductor |
96720 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
3168000 |
Modular degree for the optimal curve |
Δ |
-2.118400128E+19 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 0 13+ 5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-3498600,2527325748] |
[a1,a2,a3,a4,a6] |
Generators |
[366:-36000:1] |
Generators of the group modulo torsion |
j |
-1156236736071396407401/5171875312500000 |
j-invariant |
L |
10.718188582654 |
L(r)(E,1)/r! |
Ω |
0.21640511533872 |
Real period |
R |
0.24764175642595 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000009559 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12090f1 |
Quadratic twists by: -4 |