Atkin-Lehner |
2- 3- 5- 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
123420bd |
Isogeny class |
Conductor |
123420 |
Conductor |
∏ cp |
120 |
Product of Tamagawa factors cp |
deg |
714240 |
Modular degree for the optimal curve |
Δ |
3150102656250000 = 24 · 34 · 510 · 114 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- -2 11- -1 17+ 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-158550,-24201927] |
[a1,a2,a3,a4,a6] |
Generators |
[-234:375:1] |
Generators of the group modulo torsion |
j |
1881631032937216/13447265625 |
j-invariant |
L |
8.5539884689163 |
L(r)(E,1)/r! |
Ω |
0.23935628563479 |
Real period |
R |
0.29781226321339 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000001427 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
123420bf1 |
Quadratic twists by: -11 |