Atkin-Lehner |
2- 3+ 5- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
40710bb |
Isogeny class |
Conductor |
40710 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
64512 |
Modular degree for the optimal curve |
Δ |
-33349632000 = -1 · 216 · 3 · 53 · 23 · 59 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 -2 1 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-10350,401067] |
[a1,a2,a3,a4,a6] |
Generators |
[57:-9:1] |
Generators of the group modulo torsion |
j |
-122616067664210401/33349632000 |
j-invariant |
L |
7.2987163964184 |
L(r)(E,1)/r! |
Ω |
1.1388426223732 |
Real period |
R |
0.13351852890362 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
122130i1 |
Quadratic twists by: -3 |