Atkin-Lehner |
2- 3- 11+ 13- 23- |
Signs for the Atkin-Lehner involutions |
Class |
39468h |
Isogeny class |
Conductor |
39468 |
Conductor |
∏ cp |
54 |
Product of Tamagawa factors cp |
deg |
24192 |
Modular degree for the optimal curve |
Δ |
-9771171696 = -1 · 24 · 33 · 11 · 132 · 233 |
Discriminant |
Eigenvalues |
2- 3- -3 -1 11+ 13- -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,138,4761] |
[a1,a2,a3,a4,a6] |
Generators |
[-12:39:1] |
Generators of the group modulo torsion |
j |
18033919232/610698231 |
j-invariant |
L |
4.7377959010291 |
L(r)(E,1)/r! |
Ω |
0.97466404993778 |
Real period |
R |
0.81015879289062 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000001 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
118404n1 |
Quadratic twists by: -3 |