Atkin-Lehner |
3+ 7+ 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
11739c |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
3204747 = 32 · 72 · 132 · 43 |
Discriminant |
Eigenvalues |
-1 3+ -4 7+ 0 13+ -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-235,1286] |
[a1,a2,a3,a4,a6] |
Generators |
[-10:57:1] [-1:39:1] |
Generators of the group modulo torsion |
j |
1435630901041/3204747 |
j-invariant |
L |
2.830631236639 |
L(r)(E,1)/r! |
Ω |
2.5252592420479 |
Real period |
R |
0.56046349410529 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999978 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35217d2 82173m2 |
Quadratic twists by: -3 -7 |