Atkin-Lehner |
2+ 3- 5+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
51600bb |
Isogeny class |
Conductor |
51600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-2064000000 = -1 · 210 · 3 · 56 · 43 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 -3 -1 -4 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-2808,56388] |
[a1,a2,a3,a4,a6] |
Generators |
[32:18:1] |
Generators of the group modulo torsion |
j |
-153091012/129 |
j-invariant |
L |
5.6157114998847 |
L(r)(E,1)/r! |
Ω |
1.459893742492 |
Real period |
R |
1.9233288479932 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000009 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
25800c1 2064a1 |
Quadratic twists by: -4 5 |