Atkin-Lehner |
2- 3+ 5- 11+ |
Signs for the Atkin-Lehner involutions |
Class |
39600cn |
Isogeny class |
Conductor |
39600 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-28817880300000000 = -1 · 28 · 39 · 58 · 114 |
Discriminant |
Eigenvalues |
2- 3+ 5- -3 11+ -3 8 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-162000,-26392500] |
[a1,a2,a3,a4,a6] |
Generators |
[1254:41742:1] |
Generators of the group modulo torsion |
j |
-238878720/14641 |
j-invariant |
L |
4.7089518791581 |
L(r)(E,1)/r! |
Ω |
0.11856385136277 |
Real period |
R |
4.9645737560708 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000008 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9900h1 39600cu1 39600bz1 |
Quadratic twists by: -4 -3 5 |