Atkin-Lehner |
2- 3+ 7+ 17+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
126378z |
Isogeny class |
Conductor |
126378 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
516096 |
Modular degree for the optimal curve |
Δ |
-244188283360896 = -1 · 27 · 33 · 73 · 17 · 594 |
Discriminant |
Eigenvalues |
2- 3+ 1 7+ -1 -5 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-66887,6717247] |
[a1,a2,a3,a4,a6] |
Generators |
[155:158:1] |
Generators of the group modulo torsion |
j |
-1225685401157029203/9044010494848 |
j-invariant |
L |
9.9382833670186 |
L(r)(E,1)/r! |
Ω |
0.55833906095871 |
Real period |
R |
0.31785228333057 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000024863 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126378a1 |
Quadratic twists by: -3 |