Atkin-Lehner |
2- 7- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
24206k |
Isogeny class |
Conductor |
24206 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
-663727853262528964 = -1 · 22 · 77 · 139 · 19 |
Discriminant |
Eigenvalues |
2- 2 3 7- -3 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-2983709,1982875159] |
[a1,a2,a3,a4,a6] |
Generators |
[158511499:487046406:148877] |
Generators of the group modulo torsion |
j |
-24969214143637912513/5641593666436 |
j-invariant |
L |
13.007793019979 |
L(r)(E,1)/r! |
Ω |
0.27977292222446 |
Real period |
R |
11.623527499154 |
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 |
3458f3 |
Quadratic twists by: -7 |