Atkin-Lehner |
2+ 3+ 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722be |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
43545600 |
Modular degree for the optimal curve |
Δ |
-9.2076391684574E+21 |
Discriminant |
Eigenvalues |
2+ 3+ -3 7- 11- 2 -3 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-1956277626,33304293661876] |
[a1,a2,a3,a4,a6] |
Generators |
[8764637:-2801392:343] |
Generators of the group modulo torsion |
j |
-61279455929796531/681472 |
j-invariant |
L |
3.6369582375084 |
L(r)(E,1)/r! |
Ω |
0.091126609454473 |
Real period |
R |
9.9777613432585 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999804236 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106722fd2 106722j1 9702bh1 |
Quadratic twists by: -3 -7 -11 |