Atkin-Lehner |
2+ 3- 5- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
126150bp |
Isogeny class |
Conductor |
126150 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
3628800 |
Modular degree for the optimal curve |
Δ |
-7240458472200000000 = -1 · 29 · 316 · 58 · 292 |
Discriminant |
Eigenvalues |
2+ 3- 5- -2 -4 -6 -1 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,155799,-127266452] |
[a1,a2,a3,a4,a6] |
Generators |
[902:-27789:1] |
Generators of the group modulo torsion |
j |
1273109286815/22039921152 |
j-invariant |
L |
3.6776050919986 |
L(r)(E,1)/r! |
Ω |
0.11478567658529 |
Real period |
R |
0.66747676357259 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000109419 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
126150bz1 126150cp1 |
Quadratic twists by: 5 29 |