Atkin-Lehner |
3- 7- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
2331g |
Isogeny class |
Conductor |
2331 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3173346477 = 36 · 76 · 37 |
Discriminant |
Eigenvalues |
-1 3- -4 7- -4 4 0 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-1712,27550] |
[a1,a2,a3,a4,a6] |
Generators |
[-14:227:1] |
Generators of the group modulo torsion |
j |
760798453689/4353013 |
j-invariant |
L |
1.5328745512607 |
L(r)(E,1)/r! |
Ω |
1.425974973772 |
Real period |
R |
0.17916099270732 |
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 |
37296bu2 259a2 58275j2 16317e2 |
Quadratic twists by: -4 -3 5 -7 |