Atkin-Lehner |
2+ 3+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
19152d |
Isogeny class |
Conductor |
19152 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-44138158848 = -1 · 28 · 33 · 72 · 194 |
Discriminant |
Eigenvalues |
2+ 3+ -2 7+ 2 2 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2511,-49474] |
[a1,a2,a3,a4,a6] |
Generators |
[61:156:1] |
Generators of the group modulo torsion |
j |
-253314541296/6385729 |
j-invariant |
L |
4.3882046895566 |
L(r)(E,1)/r! |
Ω |
0.33671404994791 |
Real period |
R |
3.2581092845958 |
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 |
9576f2 76608di2 19152c2 |
Quadratic twists by: -4 8 -3 |