Atkin-Lehner |
2+ 3+ 7+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
12138b |
Isogeny class |
Conductor |
12138 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
Δ |
-816013464 = -1 · 23 · 3 · 76 · 172 |
Discriminant |
Eigenvalues |
2+ 3+ 3 7+ -3 -4 17+ 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,224,-392] |
[a1,a2,a3,a4,a6] |
Generators |
[126:623:8] |
Generators of the group modulo torsion |
j |
4271073047/2823576 |
j-invariant |
L |
3.1190360890126 |
L(r)(E,1)/r! |
Ω |
0.90471207447162 |
Real period |
R |
1.7237727764572 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
97104cr2 36414co2 84966cj2 12138p2 |
Quadratic twists by: -4 -3 -7 17 |