Atkin-Lehner |
2+ 5+ 17+ 89+ |
Signs for the Atkin-Lehner involutions |
Class |
75650a |
Isogeny class |
Conductor |
75650 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
168000 |
Modular degree for the optimal curve |
Δ |
-63183636500000 = -1 · 25 · 56 · 175 · 89 |
Discriminant |
Eigenvalues |
2+ 1 5+ 2 2 1 17+ 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,0,1,8624,-225602] |
[a1,a2,a3,a4,a6] |
Generators |
[78804346504:896056403962:1320139673] |
Generators of the group modulo torsion |
j |
4540485764879/4043752736 |
j-invariant |
L |
6.4386290557973 |
L(r)(E,1)/r! |
Ω |
0.34152649525658 |
Real period |
R |
18.852502354056 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
3026d1 |
Quadratic twists by: 5 |