Atkin-Lehner |
5- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
23465d |
Isogeny class |
Conductor |
23465 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
35568 |
Modular degree for the optimal curve |
Δ |
-5519657988325 = -1 · 52 · 13 · 198 |
Discriminant |
Eigenvalues |
1 0 5- -4 -1 13- -3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,3001,92918] |
[a1,a2,a3,a4,a6] |
Generators |
[142:1764:1] |
Generators of the group modulo torsion |
j |
175959/325 |
j-invariant |
L |
4.6036373871112 |
L(r)(E,1)/r! |
Ω |
0.52381154888321 |
Real period |
R |
4.394364153412 |
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 |
117325a1 23465c1 |
Quadratic twists by: 5 -19 |