Atkin-Lehner |
2+ 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
71136i |
Isogeny class |
Conductor |
71136 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
373248 |
Modular degree for the optimal curve |
Δ |
-16873672038912 = -1 · 29 · 37 · 133 · 193 |
Discriminant |
Eigenvalues |
2+ 3- 4 -5 1 13+ -6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-9723,418610] |
[a1,a2,a3,a4,a6] |
j |
-272349812168/45207669 |
j-invariant |
L |
1.3369901898353 |
L(r)(E,1)/r! |
Ω |
0.66849510425171 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
71136bg1 23712l1 |
Quadratic twists by: -4 -3 |