Atkin-Lehner |
2- 17+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
35972a |
Isogeny class |
Conductor |
35972 |
Conductor |
∏ cp |
12 |
Product of Tamagawa factors cp |
deg |
145728 |
Modular degree for the optimal curve |
Δ |
-8328529906604912 = -1 · 24 · 172 · 239 |
Discriminant |
Eigenvalues |
2- -1 0 4 2 -1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-20278,-4522519] |
[a1,a2,a3,a4,a6] |
Generators |
[1940:85169:1] |
Generators of the group modulo torsion |
j |
-32000/289 |
j-invariant |
L |
5.1716724257679 |
L(r)(E,1)/r! |
Ω |
0.17507376572095 |
Real period |
R |
2.4616635186466 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999996 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
35972d1 |
Quadratic twists by: -23 |