Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600m |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
38400 |
Modular degree for the optimal curve |
Δ |
-250387200 = -1 · 28 · 35 · 52 · 7 · 23 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 1 4 -4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-553,-4883] |
[a1,a2,a3,a4,a6] |
j |
-2927549440/39123 |
j-invariant |
L |
1.9671503199169 |
L(r)(E,1)/r! |
Ω |
0.4917875518952 |
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 |
96600cm1 |
Quadratic twists by: 5 |