Atkin-Lehner |
2+ 3- 5+ 101+ |
Signs for the Atkin-Lehner involutions |
Class |
9090d |
Isogeny class |
Conductor |
9090 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
28800 |
Modular degree for the optimal curve |
Δ |
-73285005312000 = -1 · 215 · 311 · 53 · 101 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 2 -3 7 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-9990,-560844] |
[a1,a2,a3,a4,a6] |
j |
-151257563987041/100528128000 |
j-invariant |
L |
0.92750744734412 |
L(r)(E,1)/r! |
Ω |
0.23187686183603 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
72720bi1 3030u1 45450bz1 |
Quadratic twists by: -4 -3 5 |