Atkin-Lehner |
2- 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
19074x |
Isogeny class |
Conductor |
19074 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
893717629794 = 2 · 32 · 112 · 177 |
Discriminant |
Eigenvalues |
2- 3+ -2 2 11- 4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-52604,4621691] |
[a1,a2,a3,a4,a6] |
Generators |
[1198:2287:8] |
Generators of the group modulo torsion |
j |
666940371553/37026 |
j-invariant |
L |
6.51094671663 |
L(r)(E,1)/r! |
Ω |
0.83821062246727 |
Real period |
R |
1.9419184576381 |
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 |
57222g2 1122j2 |
Quadratic twists by: -3 17 |