Atkin-Lehner |
2- 3- 11- 13+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
36894bc |
Isogeny class |
Conductor |
36894 |
Conductor |
∏ cp |
132 |
Product of Tamagawa factors cp |
deg |
443520 |
Modular degree for the optimal curve |
Δ |
-429184291700736 = -1 · 222 · 32 · 11 · 13 · 433 |
Discriminant |
Eigenvalues |
2- 3- 1 -1 11- 13+ -2 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,-936430,348711044] |
[a1,a2,a3,a4,a6] |
Generators |
[596:1250:1] |
Generators of the group modulo torsion |
j |
-90813350035356892938721/429184291700736 |
j-invariant |
L |
11.086995619744 |
L(r)(E,1)/r! |
Ω |
0.46824929403102 |
Real period |
R |
0.17937537147275 |
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 |
110682l1 |
Quadratic twists by: -3 |