Atkin-Lehner |
3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
60543m |
Isogeny class |
Conductor |
60543 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
15840000 |
Modular degree for the optimal curve |
Δ |
-286352029589889123 = -1 · 317 · 74 · 314 |
Discriminant |
Eigenvalues |
2 3- -4 7- -2 1 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-361755957,-2648327258399] |
[a1,a2,a3,a4,a6] |
Generators |
[527101462912993090636:15668531975868089486647:23573740145215168] |
Generators of the group modulo torsion |
j |
-7776720357545683677184/425329947 |
j-invariant |
L |
8.7034884421604 |
L(r)(E,1)/r! |
Ω |
0.017308747248705 |
Real period |
R |
31.427348254549 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20181f1 60543t1 |
Quadratic twists by: -3 -31 |