Atkin-Lehner |
2- 3+ 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39468a |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
29184 |
Modular degree for the optimal curve |
Δ |
-74912316336 = -1 · 24 · 32 · 11 · 132 · 234 |
Discriminant |
Eigenvalues |
2- 3+ -2 -2 11+ 13- 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,91,13134] |
[a1,a2,a3,a4,a6] |
Generators |
[-21:39:1] [1:115:1] |
Generators of the group modulo torsion |
j |
5151653888/4682019771 |
j-invariant |
L |
6.6313796170076 |
L(r)(E,1)/r! |
Ω |
0.85121636895945 |
Real period |
R |
0.64920622797646 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999997 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
118404m1 |
Quadratic twists by: -3 |