Atkin-Lehner |
2+ 7- 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656s |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
12244750336 = 212 · 72 · 132 · 192 |
Discriminant |
Eigenvalues |
2+ 0 2 7- 0 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-724,-5280] |
[a1,a2,a3,a4,a6] |
Generators |
[678:17640:1] |
Generators of the group modulo torsion |
j |
10246592448/2989441 |
j-invariant |
L |
8.5211057262184 |
L(r)(E,1)/r! |
Ω |
0.94094873130585 |
Real period |
R |
4.5279330504937 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000008941 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
110656k2 55328e1 |
Quadratic twists by: -4 8 |