Atkin-Lehner |
3+ 7+ 13+ 43+ |
Signs for the Atkin-Lehner involutions |
Class |
11739b |
Isogeny class |
Conductor |
11739 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-2.7315886360165E+19 |
Discriminant |
Eigenvalues |
1 3+ -4 7+ -6 13+ 4 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-2316652,1379319415] |
[a1,a2,a3,a4,a6] |
Generators |
[-1686:23117:1] |
Generators of the group modulo torsion |
j |
-1375011739752522964553161/27315886360164601563 |
j-invariant |
L |
2.1122879494999 |
L(r)(E,1)/r! |
Ω |
0.21089514806024 |
Real period |
R |
5.007910255234 |
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 |
35217b2 82173i2 |
Quadratic twists by: -3 -7 |