Atkin-Lehner |
2- 3- 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
36162da |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
528 |
Product of Tamagawa factors cp |
deg |
1182720 |
Modular degree for the optimal curve |
Δ |
-1.5808181230127E+20 |
Discriminant |
Eigenvalues |
2- 3- 1 7- -2 -1 0 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2281397,1458329933] |
[a1,a2,a3,a4,a6] |
Generators |
[-57:-39824:1] |
Generators of the group modulo torsion |
j |
-5251755315347555743/632208394027008 |
j-invariant |
L |
9.4169006695884 |
L(r)(E,1)/r! |
Ω |
0.17688148333594 |
Real period |
R |
0.10083044765673 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999995 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12054m1 36162ci1 |
Quadratic twists by: -3 -7 |