Atkin-Lehner |
2+ 3+ 5+ 7+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
75810b |
Isogeny class |
Conductor |
75810 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
1276800 |
Modular degree for the optimal curve |
Δ |
-325269199361232000 = -1 · 27 · 32 · 53 · 7 · 199 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7+ -3 -5 -1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,0,-115888,31312768] |
[a1,a2,a3,a4,a6] |
Generators |
[511:10033:1] |
Generators of the group modulo torsion |
j |
-533411731/1008000 |
j-invariant |
L |
1.6780644705724 |
L(r)(E,1)/r! |
Ω |
0.27201814900988 |
Real period |
R |
1.5422357626821 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000003373 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
75810cq1 |
Quadratic twists by: -19 |