Atkin-Lehner |
2- 3- 7- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
94248bc |
Isogeny class |
Conductor |
94248 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
564086060246016 = 210 · 38 · 74 · 112 · 172 |
Discriminant |
Eigenvalues |
2- 3- 2 7- 11+ 2 17- -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-60339,-5589250] |
[a1,a2,a3,a4,a6] |
Generators |
[-142:340:1] |
Generators of the group modulo torsion |
j |
32545470331588/755645121 |
j-invariant |
L |
8.1937505965339 |
L(r)(E,1)/r! |
Ω |
0.30504515512295 |
Real period |
R |
3.3575974112588 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000013756 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
31416c2 |
Quadratic twists by: -3 |