Atkin-Lehner |
2- 3+ 5- 11+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
85800cg |
Isogeny class |
Conductor |
85800 |
Conductor |
∏ cp |
6 |
Product of Tamagawa factors cp |
deg |
345600 |
Modular degree for the optimal curve |
Δ |
-638008800000000 = -1 · 211 · 3 · 58 · 112 · 133 |
Discriminant |
Eigenvalues |
2- 3+ 5- 2 11+ 13- 6 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,19792,566412] |
[a1,a2,a3,a4,a6] |
j |
1071718750/797511 |
j-invariant |
L |
1.9639120151571 |
L(r)(E,1)/r! |
Ω |
0.32731866348447 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
85800s1 |
Quadratic twists by: 5 |