Atkin-Lehner |
2- 3- 5- 53- |
Signs for the Atkin-Lehner involutions |
Class |
38160ci |
Isogeny class |
Conductor |
38160 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-4430187410227200 = -1 · 221 · 313 · 52 · 53 |
Discriminant |
Eigenvalues |
2- 3- 5- 3 -3 -2 4 7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-58467,6313826] |
[a1,a2,a3,a4,a6] |
Generators |
[7:2430:1] |
Generators of the group modulo torsion |
j |
-7402333827169/1483660800 |
j-invariant |
L |
6.9905244868584 |
L(r)(E,1)/r! |
Ω |
0.41807045296741 |
Real period |
R |
1.0450577823128 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
4770q1 12720p1 |
Quadratic twists by: -4 -3 |