Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
24108m |
Isogeny class |
Conductor |
24108 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
1054080 |
Modular degree for the optimal curve |
Δ |
-508616322014239488 = -1 · 28 · 315 · 72 · 414 |
Discriminant |
Eigenvalues |
2- 3- -2 7- -2 -1 0 -3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-40666509,99803207727] |
[a1,a2,a3,a4,a6] |
Generators |
[1809:179334:1] |
Generators of the group modulo torsion |
j |
-592923077334706559623168/40546581793227 |
j-invariant |
L |
5.0871014168993 |
L(r)(E,1)/r! |
Ω |
0.22270779478902 |
Real period |
R |
0.12690024866486 |
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 |
96432bv1 72324j1 24108a1 |
Quadratic twists by: -4 -3 -7 |