Atkin-Lehner |
13- 17+ 23+ |
Signs for the Atkin-Lehner involutions |
Class |
86411d |
Isogeny class |
Conductor |
86411 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
35712 |
Modular degree for the optimal curve |
Δ |
-248258803 = -1 · 133 · 173 · 23 |
Discriminant |
Eigenvalues |
0 -2 -2 -2 2 13- 17+ 5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,1,-759,7836] |
[a1,a2,a3,a4,a6] |
Generators |
[-32:19:1] [-6:110:1] |
Generators of the group modulo torsion |
j |
-9855401984/50531 |
j-invariant |
L |
5.3157579534189 |
L(r)(E,1)/r! |
Ω |
1.7631727378763 |
Real period |
R |
0.50248035249353 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000769 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86411h1 |
Quadratic twists by: 17 |