Atkin-Lehner |
2- 3- 5- 101- |
Signs for the Atkin-Lehner involutions |
Class |
9090bc |
Isogeny class |
Conductor |
9090 |
Conductor |
∏ cp |
70 |
Product of Tamagawa factors cp |
deg |
13440 |
Modular degree for the optimal curve |
Δ |
-552217500000 = -1 · 25 · 37 · 57 · 101 |
Discriminant |
Eigenvalues |
2- 3- 5- 1 2 -1 -1 -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-2282,55689] |
[a1,a2,a3,a4,a6] |
Generators |
[47:-249:1] |
Generators of the group modulo torsion |
j |
-1802041022809/757500000 |
j-invariant |
L |
7.1652019996922 |
L(r)(E,1)/r! |
Ω |
0.86465158267516 |
Real period |
R |
0.11838297716444 |
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 |
72720ci1 3030b1 45450ba1 |
Quadratic twists by: -4 -3 5 |