Atkin-Lehner |
2- 3- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
35568bg |
Isogeny class |
Conductor |
35568 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
13824 |
Modular degree for the optimal curve |
Δ |
-19213442352 = -1 · 24 · 39 · 132 · 192 |
Discriminant |
Eigenvalues |
2- 3- 0 0 0 13+ 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-660,9331] |
[a1,a2,a3,a4,a6] |
Generators |
[45:266:1] |
Generators of the group modulo torsion |
j |
-2725888000/1647243 |
j-invariant |
L |
5.6249960906026 |
L(r)(E,1)/r! |
Ω |
1.1303814455758 |
Real period |
R |
2.4880964353308 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
8892h1 11856bb1 |
Quadratic twists by: -4 -3 |