Atkin-Lehner |
3- 5- 7+ 11+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
65835z |
Isogeny class |
Conductor |
65835 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
11136 |
Modular degree for the optimal curve |
Δ |
-5332635 = -1 · 36 · 5 · 7 · 11 · 19 |
Discriminant |
Eigenvalues |
0 3- 5- 7+ 11+ 5 6 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-12,112] |
[a1,a2,a3,a4,a6] |
Generators |
[10:31:1] |
Generators of the group modulo torsion |
j |
-262144/7315 |
j-invariant |
L |
5.972792249711 |
L(r)(E,1)/r! |
Ω |
2.0199656616395 |
Real period |
R |
1.4784390555408 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999994517 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7315a1 |
Quadratic twists by: -3 |