Atkin-Lehner |
7- 19+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
21413c |
Isogeny class |
Conductor |
21413 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
321693972521908049 = 77 · 198 · 23 |
Discriminant |
Eigenvalues |
-1 0 -2 7- 4 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-175111,7173086] |
[a1,a2,a3,a4,a6] |
Generators |
[91410:592187:216] |
Generators of the group modulo torsion |
j |
5047466339151153/2734353649601 |
j-invariant |
L |
2.6449054920432 |
L(r)(E,1)/r! |
Ω |
0.26628296996472 |
Real period |
R |
9.9326873678542 |
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 |
3059a4 |
Quadratic twists by: -7 |