Atkin-Lehner |
3- 7- 11- 13- |
Signs for the Atkin-Lehner involutions |
Class |
21021p |
Isogeny class |
Conductor |
21021 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
2328599950677 = 32 · 77 · 11 · 134 |
Discriminant |
Eigenvalues |
1 3- -2 7- 11- 13- -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-181277,-29722129] |
[a1,a2,a3,a4,a6] |
Generators |
[-125880:67529:512] |
Generators of the group modulo torsion |
j |
5599640476399033/19792773 |
j-invariant |
L |
6.2321722180881 |
L(r)(E,1)/r! |
Ω |
0.23137384161177 |
Real period |
R |
6.7338772770014 |
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 |
63063p4 3003a4 |
Quadratic twists by: -3 -7 |