Atkin-Lehner |
2+ 19+ 71+ |
Signs for the Atkin-Lehner involutions |
Class |
86336b |
Isogeny class |
Conductor |
86336 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
225792 |
Modular degree for the optimal curve |
Δ |
-16340639285248 = -1 · 225 · 193 · 71 |
Discriminant |
Eigenvalues |
2+ -2 -4 -1 -4 0 0 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,2335,-188801] |
[a1,a2,a3,a4,a6] |
Generators |
[51:256:1] |
Generators of the group modulo torsion |
j |
5368567751/62334592 |
j-invariant |
L |
1.7513798341612 |
L(r)(E,1)/r! |
Ω |
0.34213393218166 |
Real period |
R |
1.2797472506477 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999880678 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86336p1 2698b1 |
Quadratic twists by: -4 8 |