Atkin-Lehner |
3- 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36663f |
Isogeny class |
Conductor |
36663 |
Conductor |
∏ cp |
56 |
Product of Tamagawa factors cp |
deg |
6451200 |
Modular degree for the optimal curve |
Δ |
4.9528820678298E+23 |
Discriminant |
Eigenvalues |
0 3- -1 -4 11- 1 3 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-336069191,2370971686727] |
[a1,a2,a3,a4,a6] |
Generators |
[10075:88573:1] |
Generators of the group modulo torsion |
j |
2369483583201884848881664/279577280592078381 |
j-invariant |
L |
3.9952916439427 |
L(r)(E,1)/r! |
Ω |
0.08952540225149 |
Real period |
R |
0.79691899558741 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000002 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109989j1 3333d1 |
Quadratic twists by: -3 -11 |