Atkin-Lehner |
2- 3+ 5- 7- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
99960cl |
Isogeny class |
Conductor |
99960 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
430080 |
Modular degree for the optimal curve |
Δ |
13994630907600 = 24 · 3 · 52 · 79 · 172 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7- 0 6 17+ -6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-98555,11940300] |
[a1,a2,a3,a4,a6] |
j |
163969005568/21675 |
j-invariant |
L |
2.7169953407619 |
L(r)(E,1)/r! |
Ω |
0.67924889486957 |
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 |
99960di1 |
Quadratic twists by: -7 |