Atkin-Lehner |
2- 3- 7+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
81312bo |
Isogeny class |
Conductor |
81312 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-2231033514479616 = -1 · 212 · 3 · 7 · 1110 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 11- 2 -2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-5969,2277471] |
[a1,a2,a3,a4,a6] |
Generators |
[51:1452:1] [429:8880:1] |
Generators of the group modulo torsion |
j |
-3241792/307461 |
j-invariant |
L |
11.609576579149 |
L(r)(E,1)/r! |
Ω |
0.37981881096103 |
Real period |
R |
7.6415229079573 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999998466 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
81312n2 7392f4 |
Quadratic twists by: -4 -11 |