Atkin-Lehner |
3+ 11- 101- |
Signs for the Atkin-Lehner involutions |
Class |
36663d |
Isogeny class |
Conductor |
36663 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15840 |
Modular degree for the optimal curve |
Δ |
-299940003 = -1 · 35 · 112 · 1012 |
Discriminant |
Eigenvalues |
0 3+ -2 -3 11- -6 -6 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-29,-826] |
[a1,a2,a3,a4,a6] |
Generators |
[16:50:1] |
Generators of the group modulo torsion |
j |
-23068672/2478843 |
j-invariant |
L |
1.2192732711611 |
L(r)(E,1)/r! |
Ω |
0.76480655612395 |
Real period |
R |
0.79711219876293 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000005 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109989f1 36663b1 |
Quadratic twists by: -3 -11 |