Atkin-Lehner |
2+ 3- 5+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
19350s |
Isogeny class |
Conductor |
19350 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
3159189843750 = 2 · 37 · 58 · 432 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -4 -4 -4 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-6192,168466] |
[a1,a2,a3,a4,a6] |
Generators |
[-61:593:1] [-21:548:1] |
Generators of the group modulo torsion |
j |
2305199161/277350 |
j-invariant |
L |
4.9676501061336 |
L(r)(E,1)/r! |
Ω |
0.77076854928937 |
Real period |
R |
0.80563259079443 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999974 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6450z2 3870v2 |
Quadratic twists by: -3 5 |