Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
11970bs |
Isogeny class |
Conductor |
11970 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
394240 |
Modular degree for the optimal curve |
Δ |
12022949175300 = 22 · 317 · 52 · 72 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -6 2 4 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-15777113,-24116727819] |
[a1,a2,a3,a4,a6] |
Generators |
[-23034590049727285:11508547061293806:10045537627033] |
Generators of the group modulo torsion |
j |
595770186172725915913801/16492385700 |
j-invariant |
L |
6.0986230724468 |
L(r)(E,1)/r! |
Ω |
0.075751750443931 |
Real period |
R |
20.127003787723 |
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 |
95760ef1 3990h1 59850cg1 83790fw1 |
Quadratic twists by: -4 -3 5 -7 |