Atkin-Lehner |
2- 3- 13+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
31824x |
Isogeny class |
Conductor |
31824 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
14476610304 = 28 · 39 · 132 · 17 |
Discriminant |
Eigenvalues |
2- 3- -2 4 2 13+ 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-22071,1262050] |
[a1,a2,a3,a4,a6] |
Generators |
[2946:10556:27] |
Generators of the group modulo torsion |
j |
6371214852688/77571 |
j-invariant |
L |
5.53257192437 |
L(r)(E,1)/r! |
Ω |
1.1360690057748 |
Real period |
R |
4.8699259430961 |
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 |
7956b2 127296db2 10608w2 |
Quadratic twists by: -4 8 -3 |