Atkin-Lehner |
2- 3+ 7- 41+ |
Signs for the Atkin-Lehner involutions |
Class |
36162bp |
Isogeny class |
Conductor |
36162 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
23040 |
Modular degree for the optimal curve |
Δ |
-4167598176 = -1 · 25 · 33 · 76 · 41 |
Discriminant |
Eigenvalues |
2- 3+ 1 7- -4 5 1 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,358,1593] |
[a1,a2,a3,a4,a6] |
Generators |
[23:135:1] |
Generators of the group modulo torsion |
j |
1601613/1312 |
j-invariant |
L |
9.8564749099349 |
L(r)(E,1)/r! |
Ω |
0.89564931735914 |
Real period |
R |
0.55024185911273 |
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 |
36162i1 738e1 |
Quadratic twists by: -3 -7 |