Atkin-Lehner |
2- 7- 29+ |
Signs for the Atkin-Lehner involutions |
Class |
11774i |
Isogeny class |
Conductor |
11774 |
Conductor |
∏ cp |
27 |
Product of Tamagawa factors cp |
Δ |
-147693056 = -1 · 29 · 73 · 292 |
Discriminant |
Eigenvalues |
2- -1 -3 7- 0 -1 0 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,113,405] |
[a1,a2,a3,a4,a6] |
Generators |
[11:-62:1] |
Generators of the group modulo torsion |
j |
189636887/175616 |
j-invariant |
L |
4.5334690734298 |
L(r)(E,1)/r! |
Ω |
1.1982174607292 |
Real period |
R |
0.14013004106676 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
94192n2 105966z2 82418l2 11774c2 |
Quadratic twists by: -4 -3 -7 29 |