Atkin-Lehner |
3+ 5+ 7- 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
21945d |
Isogeny class |
Conductor |
21945 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
2145233475 = 32 · 52 · 74 · 11 · 192 |
Discriminant |
Eigenvalues |
-1 3+ 5+ 7- 11+ -6 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-431,-2806] |
[a1,a2,a3,a4,a6] |
Generators |
[-16:25:1] [-12:34:1] |
Generators of the group modulo torsion |
j |
8855610342769/2145233475 |
j-invariant |
L |
4.1519467854445 |
L(r)(E,1)/r! |
Ω |
1.0662685184218 |
Real period |
R |
0.4867379456618 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
65835bn2 109725bi2 |
Quadratic twists by: -3 5 |