Atkin-Lehner |
2- 3- 17+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
101184z |
Isogeny class |
Conductor |
101184 |
Conductor |
∏ cp |
20 |
Product of Tamagawa factors cp |
deg |
261120 |
Modular degree for the optimal curve |
Δ |
-541716470784 = -1 · 210 · 310 · 172 · 31 |
Discriminant |
Eigenvalues |
2- 3- 3 3 -6 6 17+ -5 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-4249,-113761] |
[a1,a2,a3,a4,a6] |
Generators |
[730:4131:8] |
Generators of the group modulo torsion |
j |
-8286786611968/529019991 |
j-invariant |
L |
12.301250342394 |
L(r)(E,1)/r! |
Ω |
0.29457051589002 |
Real period |
R |
2.0879975535119 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.000000000983 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
101184f1 25296h1 |
Quadratic twists by: -4 8 |