Atkin-Lehner |
13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
89401d |
Isogeny class |
Conductor |
89401 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
190080 |
Modular degree for the optimal curve |
Δ |
-13234556512489 = -1 · 132 · 238 |
Discriminant |
Eigenvalues |
-1 -2 3 -2 0 13+ 3 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,0,1576,173497] |
[a1,a2,a3,a4,a6] |
j |
17303/529 |
j-invariant |
L |
1.0668779288272 |
L(r)(E,1)/r! |
Ω |
0.53343893377007 |
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 |
89401c1 3887b1 |
Quadratic twists by: 13 -23 |