Atkin-Lehner |
2- 3- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
41184bh |
Isogeny class |
Conductor |
41184 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
24576 |
Modular degree for the optimal curve |
Δ |
77279552064 = 26 · 310 · 112 · 132 |
Discriminant |
Eigenvalues |
2- 3- -2 0 11- 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1101,4340] |
[a1,a2,a3,a4,a6] |
Generators |
[53:308:1] |
Generators of the group modulo torsion |
j |
3163575232/1656369 |
j-invariant |
L |
5.0198808075527 |
L(r)(E,1)/r! |
Ω |
0.95512351832096 |
Real period |
R |
2.6278699619826 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999901 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
41184l1 82368t2 13728c1 |
Quadratic twists by: -4 8 -3 |