Atkin-Lehner |
2- 3+ 7- 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918s |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
deg |
675840 |
Modular degree for the optimal curve |
Δ |
-3057527173349376 = -1 · 216 · 39 · 72 · 13 · 612 |
Discriminant |
Eigenvalues |
2- 3+ -2 7- 0 13- 6 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-140186,-20341799] |
[a1,a2,a3,a4,a6] |
j |
-15479019494370459/155338473472 |
j-invariant |
L |
3.9453338282986 |
L(r)(E,1)/r! |
Ω |
0.12329168438218 |
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 |
99918c1 |
Quadratic twists by: -3 |