Atkin-Lehner |
2+ 3+ 5- 7+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
55650p |
Isogeny class |
Conductor |
55650 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1048320 |
Modular degree for the optimal curve |
Δ |
-318059784000000000 = -1 · 212 · 37 · 59 · 73 · 53 |
Discriminant |
Eigenvalues |
2+ 3+ 5- 7+ -5 -1 0 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-680575,217517125] |
[a1,a2,a3,a4,a6] |
Generators |
[110:11945:1] |
Generators of the group modulo torsion |
j |
-17849359870674821/162846609408 |
j-invariant |
L |
2.4514721567508 |
L(r)(E,1)/r! |
Ω |
0.30700786359993 |
Real period |
R |
1.9962616983662 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997704 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
55650do1 |
Quadratic twists by: 5 |