Atkin-Lehner |
3+ 5- 7- 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19635l |
Isogeny class |
Conductor |
19635 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
119621573735895 = 312 · 5 · 72 · 11 · 174 |
Discriminant |
Eigenvalues |
1 3+ 5- 7- 11+ 2 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-18762,829809] |
[a1,a2,a3,a4,a6] |
Generators |
[32820:703113:64] |
Generators of the group modulo torsion |
j |
730461405459781801/119621573735895 |
j-invariant |
L |
5.4011339865587 |
L(r)(E,1)/r! |
Ω |
0.56322816628079 |
Real period |
R |
4.794801032612 |
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 |
58905bd4 98175z4 |
Quadratic twists by: -3 5 |