Atkin-Lehner |
2- 3- 5- 11+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
124080cg |
Isogeny class |
Conductor |
124080 |
Conductor |
∏ cp |
44 |
Product of Tamagawa factors cp |
deg |
388608 |
Modular degree for the optimal curve |
Δ |
-82529074298880 = -1 · 214 · 311 · 5 · 112 · 47 |
Discriminant |
Eigenvalues |
2- 3- 5- -3 11+ 5 -3 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4320,-451980] |
[a1,a2,a3,a4,a6] |
Generators |
[108:594:1] |
Generators of the group modulo torsion |
j |
-2177286259681/20148699780 |
j-invariant |
L |
9.1794219187627 |
L(r)(E,1)/r! |
Ω |
0.25734217750439 |
Real period |
R |
0.81068415914808 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999349517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
15510m1 |
Quadratic twists by: -4 |