Atkin-Lehner |
3+ 7- 43+ |
Signs for the Atkin-Lehner involutions |
Class |
116487c |
Isogeny class |
Conductor |
116487 |
Conductor |
∏ cp |
18 |
Product of Tamagawa factors cp |
deg |
8842176 |
Modular degree for the optimal curve |
Δ |
108244422770862861 = 33 · 73 · 438 |
Discriminant |
Eigenvalues |
0 3+ 3 7- 0 2 6 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-92069106,340031383359] |
[a1,a2,a3,a4,a6] |
j |
273497953959936/343 |
j-invariant |
L |
3.8263703899906 |
L(r)(E,1)/r! |
Ω |
0.2125760982708 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
9 |
(Analytic) order of Ш |
t |
3 |
Number of elements in the torsion subgroup |
Twists |
116487d2 116487b1 |
Quadratic twists by: -3 -43 |