Atkin-Lehner |
2+ 3- 19+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
6726c |
Isogeny class |
Conductor |
6726 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-48337219356768 = -1 · 25 · 38 · 19 · 594 |
Discriminant |
Eigenvalues |
2+ 3- -2 0 0 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-2632,338294] |
[a1,a2,a3,a4,a6] |
Generators |
[-38:638:1] |
Generators of the group modulo torsion |
j |
-2015320626946297/48337219356768 |
j-invariant |
L |
3.2471985663839 |
L(r)(E,1)/r! |
Ω |
0.53293345432357 |
Real period |
R |
0.76163321612673 |
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 |
53808m3 20178m4 127794bb3 |
Quadratic twists by: -4 -3 -19 |