Atkin-Lehner |
2+ 5+ 37+ 43- |
Signs for the Atkin-Lehner involutions |
Class |
127280a |
Isogeny class |
Conductor |
127280 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
6156288 |
Modular degree for the optimal curve |
Δ |
136826000000000 = 210 · 59 · 37 · 432 |
Discriminant |
Eigenvalues |
2+ -2 5+ 4 -4 6 -2 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-24088656,-45513852956] |
[a1,a2,a3,a4,a6] |
j |
1509598593745808139392836/133619140625 |
j-invariant |
L |
1.2266452865219 |
L(r)(E,1)/r! |
Ω |
0.068146948043186 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
63640a1 |
Quadratic twists by: -4 |