Atkin-Lehner |
3- 17+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
122247n |
Isogeny class |
Conductor |
122247 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
1410048 |
Modular degree for the optimal curve |
Δ |
-5156170867356806259 = -1 · 39 · 179 · 472 |
Discriminant |
Eigenvalues |
0 3- -1 4 -3 -3 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-471648,-165768305] |
[a1,a2,a3,a4,a6] |
Generators |
[388705:21079164:125] |
Generators of the group modulo torsion |
j |
-134217728/59643 |
j-invariant |
L |
5.0918258806648 |
L(r)(E,1)/r! |
Ω |
0.08916916225434 |
Real period |
R |
7.1378740333484 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999799717 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
40749b1 122247k1 |
Quadratic twists by: -3 17 |