Atkin-Lehner |
2- 5+ 47- |
Signs for the Atkin-Lehner involutions |
Class |
44180c |
Isogeny class |
Conductor |
44180 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
185472 |
Modular degree for the optimal curve |
Δ |
-648477594192640 = -1 · 28 · 5 · 477 |
Discriminant |
Eigenvalues |
2- 2 5+ 2 -4 -1 0 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-100141,12292185] |
[a1,a2,a3,a4,a6] |
Generators |
[1191:39762:1] |
Generators of the group modulo torsion |
j |
-40247296/235 |
j-invariant |
L |
8.237540465007 |
L(r)(E,1)/r! |
Ω |
0.51474558636726 |
Real period |
R |
1.3335941552451 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.9999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
940e1 |
Quadratic twists by: -47 |