Atkin-Lehner |
2+ 3- 7- 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
126672t |
Isogeny class |
Conductor |
126672 |
Conductor |
∏ cp |
168 |
Product of Tamagawa factors cp |
deg |
473088 |
Modular degree for the optimal curve |
Δ |
-322820934928128 = -1 · 28 · 37 · 76 · 132 · 29 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ -6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,15196,481980] |
[a1,a2,a3,a4,a6] |
Generators |
[19:-882:1] [-2:672:1] |
Generators of the group modulo torsion |
j |
1515803905232048/1261019277063 |
j-invariant |
L |
12.82962482407 |
L(r)(E,1)/r! |
Ω |
0.35112425056923 |
Real period |
R |
0.86996912745386 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999941188 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63336k1 |
Quadratic twists by: -4 |