Atkin-Lehner |
2- 3+ 11+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
47652c |
Isogeny class |
Conductor |
47652 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
Δ |
-329853946171276032 = -1 · 28 · 3 · 113 · 199 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11+ -5 3 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,125147,-21794399] |
[a1,a2,a3,a4,a6] |
Generators |
[12549:315514:27] |
Generators of the group modulo torsion |
j |
17997824000/27387987 |
j-invariant |
L |
5.1737869399324 |
L(r)(E,1)/r! |
Ω |
0.16110720956897 |
Real period |
R |
2.6761615002395 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000036 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
2508a2 |
Quadratic twists by: -19 |