Atkin-Lehner |
2+ 3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
73326j |
Isogeny class |
Conductor |
73326 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
1999200 |
Modular degree for the optimal curve |
Δ |
-2957663655263839104 = -1 · 27 · 317 · 116 · 101 |
Discriminant |
Eigenvalues |
2+ 3+ 3 -2 11- 4 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-158996,86200272] |
[a1,a2,a3,a4,a6] |
Generators |
[501673:272019915:29791] |
Generators of the group modulo torsion |
j |
-250917218570017/1669524027264 |
j-invariant |
L |
4.8101148045408 |
L(r)(E,1)/r! |
Ω |
0.21844291987825 |
Real period |
R |
11.01000391046 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000826 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
606d1 |
Quadratic twists by: -11 |