Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36663i |
Isogeny class |
Conductor |
36663 |
Conductor |
∏ cp |
40 |
Product of Tamagawa factors cp |
deg |
475200 |
Modular degree for the optimal curve |
Δ |
5844982128201513 = 35 · 119 · 1012 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-811247,281148792] |
[a1,a2,a3,a4,a6] |
Generators |
[70055:-236674:125] |
Generators of the group modulo torsion |
j |
33329357828245513/3299340033 |
j-invariant |
L |
4.5656614469172 |
L(r)(E,1)/r! |
Ω |
0.40833689667375 |
Real period |
R |
1.1181114134206 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
109989p1 3333f1 |
Quadratic twists by: -3 -11 |