Atkin-Lehner |
2+ 3+ 23- |
Signs for the Atkin-Lehner involutions |
Class |
9522a |
Isogeny class |
Conductor |
9522 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
2880 |
Modular degree for the optimal curve |
Δ |
-333193824 = -1 · 25 · 39 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 2 1 1 -2 -4 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,39,-883] |
[a1,a2,a3,a4,a6] |
j |
621/32 |
j-invariant |
L |
1.6379947750352 |
L(r)(E,1)/r! |
Ω |
0.81899738751761 |
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 |
76176bk1 9522g1 9522b1 |
Quadratic twists by: -4 -3 -23 |