Atkin-Lehner |
5+ 11+ 31+ |
Signs for the Atkin-Lehner involutions |
Class |
93775b |
Isogeny class |
Conductor |
93775 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
1672704 |
Modular degree for the optimal curve |
Δ |
-4425757287208984375 = -1 · 59 · 119 · 312 |
Discriminant |
Eigenvalues |
-1 2 5+ -4 11+ -6 2 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-257188,-113089844] |
[a1,a2,a3,a4,a6] |
Generators |
[38352:1300801:27] |
Generators of the group modulo torsion |
j |
-51064811/120125 |
j-invariant |
L |
3.8316597793874 |
L(r)(E,1)/r! |
Ω |
0.098976066571637 |
Real period |
R |
9.6782482769915 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999904636 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
18755f1 93775a1 |
Quadratic twists by: 5 -11 |