Atkin-Lehner |
2+ 5- 31+ 47+ |
Signs for the Atkin-Lehner involutions |
Class |
58280c |
Isogeny class |
Conductor |
58280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
25344 |
Modular degree for the optimal curve |
Δ |
-1753062400 = -1 · 210 · 52 · 31 · 472 |
Discriminant |
Eigenvalues |
2+ 0 5- -4 -2 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,133,1926] |
[a1,a2,a3,a4,a6] |
j |
254084796/1711975 |
j-invariant |
L |
2.1648467539621 |
L(r)(E,1)/r! |
Ω |
1.0824233776304 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
116560h1 |
Quadratic twists by: -4 |