Atkin-Lehner |
2+ 3- 5- 7- 23- |
Signs for the Atkin-Lehner involutions |
Class |
38640bb |
Isogeny class |
Conductor |
38640 |
Conductor |
∏ cp |
384 |
Product of Tamagawa factors cp |
deg |
344064 |
Modular degree for the optimal curve |
Δ |
-53719263400320000 = -1 · 210 · 34 · 54 · 7 · 236 |
Discriminant |
Eigenvalues |
2+ 3- 5- 7- 0 -4 8 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,85680,-5554332] |
[a1,a2,a3,a4,a6] |
Generators |
[591:-15870:1] |
Generators of the group modulo torsion |
j |
67929287623001276/52460218164375 |
j-invariant |
L |
8.0305795454127 |
L(r)(E,1)/r! |
Ω |
0.19752394919725 |
Real period |
R |
0.42350241884421 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000003 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320d1 115920v1 |
Quadratic twists by: -4 -3 |