Atkin-Lehner |
2- 5+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
74800bq |
Isogeny class |
Conductor |
74800 |
Conductor |
∏ cp |
1 |
Product of Tamagawa factors cp |
deg |
259200 |
Modular degree for the optimal curve |
Δ |
-2161720000000000 = -1 · 212 · 510 · 11 · 173 |
Discriminant |
Eigenvalues |
2- 0 5+ -3 11- -2 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-50000,-4850000] |
[a1,a2,a3,a4,a6] |
Generators |
[1700623452278503932:2990625427593937643:6462711281040832] |
Generators of the group modulo torsion |
j |
-345600000/54043 |
j-invariant |
L |
4.7878590459573 |
L(r)(E,1)/r! |
Ω |
0.15827215528647 |
Real period |
R |
30.250798299242 |
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 |
4675e1 74800df1 |
Quadratic twists by: -4 5 |