Atkin-Lehner |
3+ 11- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
36663c |
Isogeny class |
Conductor |
36663 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
84480 |
Modular degree for the optimal curve |
Δ |
194852222829 = 32 · 118 · 101 |
Discriminant |
Eigenvalues |
2 3+ -3 2 11- 5 -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,1,-6332,-190675] |
[a1,a2,a3,a4,a6] |
j |
15851081728/109989 |
j-invariant |
L |
2.1416584688845 |
L(r)(E,1)/r! |
Ω |
0.53541461723036 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
109989t1 3333b1 |
Quadratic twists by: -3 -11 |