Atkin-Lehner |
2+ 3- 7- 11- |
Signs for the Atkin-Lehner involutions |
Class |
106722cw |
Isogeny class |
Conductor |
106722 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
191692800 |
Modular degree for the optimal curve |
Δ |
-1.6796250994343E+30 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- 11- 6 -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-89407467,-62354824648187] |
[a1,a2,a3,a4,a6] |
j |
-520203426765625/11054534935707648 |
j-invariant |
L |
2.4250031476625 |
L(r)(E,1)/r! |
Ω |
0.012125015879391 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
25 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
35574bz1 15246p1 9702cc1 |
Quadratic twists by: -3 -7 -11 |