Atkin-Lehner |
2+ 3+ 5- 37+ |
Signs for the Atkin-Lehner involutions |
Class |
106560r |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
86016 |
Modular degree for the optimal curve |
Δ |
29130840000 = 26 · 39 · 54 · 37 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -4 4 -2 -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1107,-11556] |
[a1,a2,a3,a4,a6] |
j |
119095488/23125 |
j-invariant |
L |
1.6777313685872 |
L(r)(E,1)/r! |
Ω |
0.83886578279856 |
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 |
106560q1 53280y2 106560e1 |
Quadratic twists by: -4 8 -3 |