Atkin-Lehner |
2+ 7+ 13- 19+ |
Signs for the Atkin-Lehner involutions |
Class |
110656h |
Isogeny class |
Conductor |
110656 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
138240 |
Modular degree for the optimal curve |
Δ |
-727688019968 = -1 · 217 · 7 · 133 · 192 |
Discriminant |
Eigenvalues |
2+ 1 -4 7+ -3 13- 2 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1825,50239] |
[a1,a2,a3,a4,a6] |
Generators |
[-45:208:1] [-6:247:1] |
Generators of the group modulo torsion |
j |
-5131452818/5551819 |
j-invariant |
L |
9.8615406142227 |
L(r)(E,1)/r! |
Ω |
0.81900136395312 |
Real period |
R |
0.50170554487326 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000939 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
110656br1 13832a1 |
Quadratic twists by: -4 8 |