Atkin-Lehner |
2+ 5- 13- 83- |
Signs for the Atkin-Lehner involutions |
Class |
86320l |
Isogeny class |
Conductor |
86320 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
17408 |
Modular degree for the optimal curve |
Δ |
-89772800 = -1 · 28 · 52 · 132 · 83 |
Discriminant |
Eigenvalues |
2+ -1 5- -1 -1 13- -5 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,60,400] |
[a1,a2,a3,a4,a6] |
Generators |
[0:20:1] [12:52:1] |
Generators of the group modulo torsion |
j |
91765424/350675 |
j-invariant |
L |
9.3038336675164 |
L(r)(E,1)/r! |
Ω |
1.358962259667 |
Real period |
R |
0.85578477267114 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998429 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
43160e1 |
Quadratic twists by: -4 |