Atkin-Lehner |
2- 3- 13+ 53- |
Signs for the Atkin-Lehner involutions |
Class |
107484p |
Isogeny class |
Conductor |
107484 |
Conductor |
∏ cp |
180 |
Product of Tamagawa factors cp |
deg |
2304000 |
Modular degree for the optimal curve |
Δ |
-1351183516589806848 = -1 · 28 · 320 · 134 · 53 |
Discriminant |
Eigenvalues |
2- 3- -4 -2 0 13+ -7 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1189140,501838884] |
[a1,a2,a3,a4,a6] |
Generators |
[-1140:19422:1] [-672:31590:1] |
Generators of the group modulo torsion |
j |
-25433707181870416/184799573253 |
j-invariant |
L |
10.084129392837 |
L(r)(E,1)/r! |
Ω |
0.27226391765273 |
Real period |
R |
0.20576704235894 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999990816 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
107484o1 |
Quadratic twists by: 13 |