Atkin-Lehner |
2+ 3+ 5+ 13+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
116610f |
Isogeny class |
Conductor |
116610 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-1360139040 = -1 · 25 · 37 · 5 · 132 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 0 -5 13+ 8 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-3,1773] |
[a1,a2,a3,a4,a6] |
j |
-28561/8048160 |
j-invariant |
L |
1.2119525550067 |
L(r)(E,1)/r! |
Ω |
1.2119520577859 |
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 |
116610cd1 |
Quadratic twists by: 13 |