Atkin-Lehner |
2- 3+ 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
51156a |
Isogeny class |
Conductor |
51156 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
544320 |
Modular degree for the optimal curve |
Δ |
-759957848776668528 = -1 · 24 · 39 · 76 · 295 |
Discriminant |
Eigenvalues |
2- 3+ 0 7- 5 3 -5 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-152145,47758977] |
[a1,a2,a3,a4,a6] |
Generators |
[513:10233:1] |
Generators of the group modulo torsion |
j |
-10512288000/20511149 |
j-invariant |
L |
6.7541794885098 |
L(r)(E,1)/r! |
Ω |
0.25319249304913 |
Real period |
R |
4.4460108902464 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999399 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
51156c1 1044a1 |
Quadratic twists by: -3 -7 |