Atkin-Lehner |
2- 3- 5- 17+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
58140j |
Isogeny class |
Conductor |
58140 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
60480 |
Modular degree for the optimal curve |
Δ |
-435519763200 = -1 · 28 · 36 · 52 · 173 · 19 |
Discriminant |
Eigenvalues |
2- 3- 5- 2 -6 2 17+ 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1272,-36236] |
[a1,a2,a3,a4,a6] |
Generators |
[117837:1454635:729] |
Generators of the group modulo torsion |
j |
-1219600384/2333675 |
j-invariant |
L |
6.6318247907849 |
L(r)(E,1)/r! |
Ω |
0.37619952247166 |
Real period |
R |
8.8142387143816 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000274 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6460d1 |
Quadratic twists by: -3 |