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 |
Δ |
-1.8717426778917E+19 |
Discriminant |
Eigenvalues |
-1 3- 2 -4 11- 2 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-750142,325303265] |
[a1,a2,a3,a4,a6] |
Generators |
[824:15923:1] |
Generators of the group modulo torsion |
j |
-26351059610839033/10565499454389 |
j-invariant |
L |
4.5656614469172 |
L(r)(E,1)/r! |
Ω |
0.20416844833687 |
Real period |
R |
2.2362228268411 |
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 |
109989p2 3333f2 |
Quadratic twists by: -3 -11 |