Atkin-Lehner |
3- 5- 11+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
83655s |
Isogeny class |
Conductor |
83655 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
193536 |
Modular degree for the optimal curve |
Δ |
-62897544727875 = -1 · 36 · 53 · 11 · 137 |
Discriminant |
Eigenvalues |
0 3- 5- -2 11+ 13+ 3 -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-8112,-474003] |
[a1,a2,a3,a4,a6] |
Generators |
[117:422:1] |
Generators of the group modulo torsion |
j |
-16777216/17875 |
j-invariant |
L |
5.1636027731623 |
L(r)(E,1)/r! |
Ω |
0.24134051359556 |
Real period |
R |
0.89147948024497 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999965699 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
9295b1 6435i1 |
Quadratic twists by: -3 13 |