Atkin-Lehner |
2- 3- 11- 41- |
Signs for the Atkin-Lehner involutions |
Class |
89298cq |
Isogeny class |
Conductor |
89298 |
Conductor |
∏ cp |
100 |
Product of Tamagawa factors cp |
deg |
3360000 |
Modular degree for the optimal curve |
Δ |
-4.3174136591648E+20 |
Discriminant |
Eigenvalues |
2- 3- -1 2 11- 1 -7 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-190598,-1000165867] |
[a1,a2,a3,a4,a6] |
Generators |
[2313:103387:1] |
Generators of the group modulo torsion |
j |
-592915705201/334302806016 |
j-invariant |
L |
10.154324875935 |
L(r)(E,1)/r! |
Ω |
0.075303068261417 |
Real period |
R |
1.348460974671 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999936821 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
29766q1 738b1 |
Quadratic twists by: -3 -11 |