Atkin-Lehner |
2- 3- 13+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
19422o |
Isogeny class |
Conductor |
19422 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
Δ |
2698575048702 = 2 · 37 · 13 · 834 |
Discriminant |
Eigenvalues |
2- 3- -2 0 4 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-5036,113825] |
[a1,a2,a3,a4,a6] |
Generators |
[761178:3230197:10648] |
Generators of the group modulo torsion |
j |
19371912444793/3701749038 |
j-invariant |
L |
7.2754631069824 |
L(r)(E,1)/r! |
Ω |
0.76765883389391 |
Real period |
R |
9.4774693988449 |
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 |
6474h3 |
Quadratic twists by: -3 |