Atkin-Lehner |
2- 3- 7+ 13- 61+ |
Signs for the Atkin-Lehner involutions |
Class |
99918w |
Isogeny class |
Conductor |
99918 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
706560 |
Modular degree for the optimal curve |
Δ |
653192376084612 = 22 · 36 · 710 · 13 · 61 |
Discriminant |
Eigenvalues |
2- 3- -2 7+ 4 13- 4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-100991,-12266333] |
[a1,a2,a3,a4,a6] |
j |
156257247510931113/896011489828 |
j-invariant |
L |
4.2864640512704 |
L(r)(E,1)/r! |
Ω |
0.2679039937921 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
11102b1 |
Quadratic twists by: -3 |