Atkin-Lehner |
3- 5+ 17+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
118575j |
Isogeny class |
Conductor |
118575 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
131072 |
Modular degree for the optimal curve |
Δ |
-486231609375 = -1 · 310 · 56 · 17 · 31 |
Discriminant |
Eigenvalues |
-1 3- 5+ 0 -4 -6 17+ -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,1795,-16828] |
[a1,a2,a3,a4,a6] |
Generators |
[34:270:1] |
Generators of the group modulo torsion |
j |
56181887/42687 |
j-invariant |
L |
2.6461221119429 |
L(r)(E,1)/r! |
Ω |
0.5208563414166 |
Real period |
R |
2.5401650102804 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000016041 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
39525f1 4743d1 |
Quadratic twists by: -3 5 |