Atkin-Lehner |
2+ 5+ 61- |
Signs for the Atkin-Lehner involutions |
Class |
97600v |
Isogeny class |
Conductor |
97600 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
89856 |
Modular degree for the optimal curve |
Δ |
-799539200 = -1 · 219 · 52 · 61 |
Discriminant |
Eigenvalues |
2+ 3 5+ 1 -6 -6 -8 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,20,-1360] |
[a1,a2,a3,a4,a6] |
j |
135/122 |
j-invariant |
L |
1.4835785807124 |
L(r)(E,1)/r! |
Ω |
0.74178926444578 |
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 |
97600cj1 3050h1 97600bq1 |
Quadratic twists by: -4 8 5 |