Atkin-Lehner |
2+ 3+ 5+ 79- |
Signs for the Atkin-Lehner involutions |
Class |
37920c |
Isogeny class |
Conductor |
37920 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
12288 |
Modular degree for the optimal curve |
Δ |
-711000000 = -1 · 26 · 32 · 56 · 79 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ -2 0 -2 -8 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,154,-1104] |
[a1,a2,a3,a4,a6] |
Generators |
[8:24:1] [14:60:1] |
Generators of the group modulo torsion |
j |
6270219584/11109375 |
j-invariant |
L |
6.8773569806776 |
L(r)(E,1)/r! |
Ω |
0.84283684157813 |
Real period |
R |
4.0798863086009 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999993 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
37920e1 75840cr1 113760bo1 |
Quadratic twists by: -4 8 -3 |