Atkin-Lehner |
2+ 3+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
21294a |
Isogeny class |
Conductor |
21294 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
-165835993412037312 = -1 · 26 · 33 · 76 · 138 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,125958,9340020] |
[a1,a2,a3,a4,a6] |
Generators |
[-68:710:1] |
Generators of the group modulo torsion |
j |
1695802078125/1272491584 |
j-invariant |
L |
3.8379856100365 |
L(r)(E,1)/r! |
Ω |
0.20616314971731 |
Real period |
R |
2.3270317799879 |
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 |
21294bm4 1638m2 |
Quadratic twists by: -3 13 |