Atkin-Lehner |
2+ 3- 5- 31- |
Signs for the Atkin-Lehner involutions |
Class |
86490bl |
Isogeny class |
Conductor |
86490 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
2211840 |
Modular degree for the optimal curve |
Δ |
-2053805638340505600 = -1 · 212 · 36 · 52 · 317 |
Discriminant |
Eigenvalues |
2+ 3- 5- -4 0 4 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-916974,345165268] |
[a1,a2,a3,a4,a6] |
j |
-131794519969/3174400 |
j-invariant |
L |
1.0446821127558 |
L(r)(E,1)/r! |
Ω |
0.26117055790673 |
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 |
9610a1 2790m1 |
Quadratic twists by: -3 -31 |