Atkin-Lehner |
2+ 3+ 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312c |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
259818393869895168 = 29 · 312 · 72 · 117 |
Discriminant |
Eigenvalues |
2+ 3+ 2 7+ 11- 2 -6 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-725072,236613192] |
[a1,a2,a3,a4,a6] |
j |
46477380430664/286446699 |
j-invariant |
L |
0.62476801919632 |
L(r)(E,1)/r! |
Ω |
0.31238401443016 |
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 |
81312bu3 7392l2 |
Quadratic twists by: -4 -11 |