Atkin-Lehner |
2- 3- 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23940k |
Isogeny class |
Conductor |
23940 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
12672 |
Modular degree for the optimal curve |
Δ |
-3350833920 = -1 · 28 · 39 · 5 · 7 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7+ -4 0 -8 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-48,2788] |
[a1,a2,a3,a4,a6] |
Generators |
[-4:54:1] |
Generators of the group modulo torsion |
j |
-65536/17955 |
j-invariant |
L |
3.8772167546415 |
L(r)(E,1)/r! |
Ω |
1.1493095336735 |
Real period |
R |
0.28112652575621 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
95760dy1 7980e1 119700bf1 |
Quadratic twists by: -4 -3 5 |