Atkin-Lehner |
3+ 7- 13- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11739f |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-8846169969 = -1 · 3 · 74 · 134 · 43 |
Discriminant |
Eigenvalues |
1 3+ 2 7- 4 13- 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,516,645] |
[a1,a2,a3,a4,a6] |
Generators |
[28:181:1] |
Generators of the group modulo torsion |
j |
15148061700407/8846169969 |
j-invariant |
L |
5.8087756533976 |
L(r)(E,1)/r! |
Ω |
0.78750382933176 |
Real period |
R |
1.8440467960412 |
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 |
35217i3 82173f3 |
Quadratic twists by: -3 -7 |