Atkin-Lehner |
2- 23- 59- |
Signs for the Atkin-Lehner involutions |
Class |
86848z |
Isogeny class |
Conductor |
86848 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
41472 |
Modular degree for the optimal curve |
Δ |
-16906873856 = -1 · 210 · 234 · 59 |
Discriminant |
Eigenvalues |
2- -1 -3 -1 -2 -4 -6 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,603,2389] |
[a1,a2,a3,a4,a6] |
Generators |
[9:92:1] [37:272:1] |
Generators of the group modulo torsion |
j |
23640424448/16510619 |
j-invariant |
L |
6.2359891074836 |
L(r)(E,1)/r! |
Ω |
0.78060822940042 |
Real period |
R |
0.99857855587203 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000243 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
86848c1 21712i1 |
Quadratic twists by: -4 8 |