Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162bq |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
7488 |
Modular degree for the optimal curve |
Δ |
-17791704 = -1 · 23 · 33 · 72 · 412 |
Discriminant |
Eigenvalues |
2- 3+ -1 7- -1 6 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,22,193] |
[a1,a2,a3,a4,a6] |
Generators |
[11:35:1] |
Generators of the group modulo torsion |
j |
928557/13448 |
j-invariant |
L |
8.5260356174596 |
L(r)(E,1)/r! |
Ω |
1.6204613209757 |
Real period |
R |
0.43845722136325 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36162f1 36162bm1 |
Quadratic twists by: -3 -7 |