Atkin-Lehner |
2+ 3+ 17- 59- |
Signs for the Atkin-Lehner involutions |
Class |
24072b |
Isogeny class |
Conductor |
24072 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
6336 |
Modular degree for the optimal curve |
Δ |
-55461888 = -1 · 211 · 33 · 17 · 59 |
Discriminant |
Eigenvalues |
2+ 3+ 0 1 2 6 17- -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-408,-3060] |
[a1,a2,a3,a4,a6] |
Generators |
[321931:766484:12167] |
Generators of the group modulo torsion |
j |
-3676531250/27081 |
j-invariant |
L |
5.256720134487 |
L(r)(E,1)/r! |
Ω |
0.53079252816363 |
Real period |
R |
9.9035307687423 |
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 |
48144b1 72216h1 |
Quadratic twists by: -4 -3 |