Atkin-Lehner |
2+ 3+ 5+ 7- 23+ |
Signs for the Atkin-Lehner involutions |
Class |
96600n |
Isogeny class |
Conductor |
96600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
172032 |
Modular degree for the optimal curve |
Δ |
-6221040000000 = -1 · 210 · 3 · 57 · 72 · 232 |
Discriminant |
Eigenvalues |
2+ 3+ 5+ 7- 2 4 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,4592,-9188] |
[a1,a2,a3,a4,a6] |
j |
669136604/388815 |
j-invariant |
L |
3.5723774678547 |
L(r)(E,1)/r! |
Ω |
0.44654718200194 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
19320u1 |
Quadratic twists by: 5 |