Atkin-Lehner |
2+ 7+ 13+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
6734a |
Isogeny class |
Conductor |
6734 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
725548096 = 26 · 72 · 132 · 372 |
Discriminant |
Eigenvalues |
2+ 0 2 7+ 0 13+ 6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-271,1197] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:58:1] |
Generators of the group modulo torsion |
j |
2205630275913/725548096 |
j-invariant |
L |
3.2299601091109 |
L(r)(E,1)/r! |
Ω |
1.4791318311735 |
Real period |
R |
2.1836864308087 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
53872c2 60606bc2 47138e2 87542f2 |
Quadratic twists by: -4 -3 -7 13 |