Atkin-Lehner |
2- 3+ 5- 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9090n |
Isogeny class |
Conductor |
9090 |
Conductor |
∏ cp |
200 |
Product of Tamagawa factors cp |
deg |
67200 |
Modular degree for the optimal curve |
Δ |
-6514222694400000 = -1 · 220 · 39 · 55 · 101 |
Discriminant |
Eigenvalues |
2- 3+ 5- 1 -3 0 -7 3 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,37528,-2701781] |
[a1,a2,a3,a4,a6] |
Generators |
[397:-8839:1] |
Generators of the group modulo torsion |
j |
296967914223813/330956800000 |
j-invariant |
L |
6.9052426370608 |
L(r)(E,1)/r! |
Ω |
0.22791458346604 |
Real period |
R |
0.15148751194523 |
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 |
72720bb1 9090a1 45450b1 |
Quadratic twists by: -4 -3 5 |