Atkin-Lehner |
2+ 3- 5+ 59+ |
Signs for the Atkin-Lehner involutions |
Class |
8850h |
Isogeny class |
Conductor |
8850 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
126720 |
Modular degree for the optimal curve |
Δ |
76106760192000000 = 222 · 39 · 56 · 59 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 0 -4 0 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,-587776,-172986802] |
[a1,a2,a3,a4,a6] |
j |
1437269372537979889/4870832652288 |
j-invariant |
L |
1.5521285539084 |
L(r)(E,1)/r! |
Ω |
0.17245872821205 |
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 |
70800bb1 26550bs1 354e1 |
Quadratic twists by: -4 -3 5 |