Atkin-Lehner |
2+ 3- 13- 103+ |
Signs for the Atkin-Lehner involutions |
Class |
24102k |
Isogeny class |
Conductor |
24102 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
9216 |
Modular degree for the optimal curve |
Δ |
-1827317232 = -1 · 24 · 38 · 132 · 103 |
Discriminant |
Eigenvalues |
2+ 3- 0 0 -2 13- 2 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,18,2052] |
[a1,a2,a3,a4,a6] |
Generators |
[1:45:1] |
Generators of the group modulo torsion |
j |
857375/2506608 |
j-invariant |
L |
4.0217288349092 |
L(r)(E,1)/r! |
Ω |
1.1662758595932 |
Real period |
R |
1.7241756321321 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8034i1 |
Quadratic twists by: -3 |