Atkin-Lehner |
2- 7- 13- 71- |
Signs for the Atkin-Lehner involutions |
Class |
51688h |
Isogeny class |
Conductor |
51688 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
184832 |
Modular degree for the optimal curve |
Δ |
-1362153298688 = -1 · 28 · 78 · 13 · 71 |
Discriminant |
Eigenvalues |
2- -3 -2 7- 0 13- -4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22636,1312036] |
[a1,a2,a3,a4,a6] |
Generators |
[40:686:1] |
Generators of the group modulo torsion |
j |
-5010520030036992/5320911323 |
j-invariant |
L |
2.2168068190592 |
L(r)(E,1)/r! |
Ω |
0.85209975909063 |
Real period |
R |
0.16259883272644 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999997533 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
103376d1 |
Quadratic twists by: -4 |