Atkin-Lehner |
2- 3- 7+ 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
108528bd |
Isogeny class |
Conductor |
108528 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
2889216 |
Modular degree for the optimal curve |
Δ |
-7348065984873234432 = -1 · 223 · 318 · 7 · 17 · 19 |
Discriminant |
Eigenvalues |
2- 3- 4 7+ -4 -4 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,162784,128001012] |
[a1,a2,a3,a4,a6] |
Generators |
[628:21870:1] |
Generators of the group modulo torsion |
j |
116465218041507551/1793961422088192 |
j-invariant |
L |
10.181873565557 |
L(r)(E,1)/r! |
Ω |
0.17469053813218 |
Real period |
R |
1.6190334295726 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000007052 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
13566o1 |
Quadratic twists by: -4 |