Atkin-Lehner |
2- 11- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36982f |
Isogeny class |
Conductor |
36982 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
11520 |
Modular degree for the optimal curve |
Δ |
-194081536 = -1 · 28 · 11 · 413 |
Discriminant |
Eigenvalues |
2- 0 -3 -1 11- -6 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-49,-671] |
[a1,a2,a3,a4,a6] |
Generators |
[31:148:1] |
Generators of the group modulo torsion |
j |
-185193/2816 |
j-invariant |
L |
5.5327285506348 |
L(r)(E,1)/r! |
Ω |
0.76740736148481 |
Real period |
R |
0.45060231601837 |
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 |
36982d1 |
Quadratic twists by: 41 |