Atkin-Lehner |
2- 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9090s |
Isogeny class |
Conductor |
9090 |
Conductor |
∏ cp |
136 |
Product of Tamagawa factors cp |
deg |
97920 |
Modular degree for the optimal curve |
Δ |
-18974048822231040 = -1 · 234 · 37 · 5 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5+ -3 1 0 3 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-269393,54291777] |
[a1,a2,a3,a4,a6] |
Generators |
[1175:-37452:1] |
Generators of the group modulo torsion |
j |
-2965880116461979081/26027501813760 |
j-invariant |
L |
5.7051675308576 |
L(r)(E,1)/r! |
Ω |
0.38834938848367 |
Real period |
R |
0.10802067030439 |
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 |
72720bh1 3030e1 45450q1 |
Quadratic twists by: -4 -3 5 |