Atkin-Lehner |
2- 3- 11- 43- |
Signs for the Atkin-Lehner involutions |
Class |
31218s |
Isogeny class |
Conductor |
31218 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
86400 |
Modular degree for the optimal curve |
Δ |
-23167596063744 = -1 · 210 · 33 · 117 · 43 |
Discriminant |
Eigenvalues |
2- 3- -1 3 11- -4 -3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-7081,325337] |
[a1,a2,a3,a4,a6] |
Generators |
[32:-379:1] |
Generators of the group modulo torsion |
j |
-22164361129/13077504 |
j-invariant |
L |
10.4238043235 |
L(r)(E,1)/r! |
Ω |
0.62631926590912 |
Real period |
R |
0.13869130451078 |
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 |
93654t1 2838c1 |
Quadratic twists by: -3 -11 |