Atkin-Lehner |
2+ 3+ 11- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736g |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
163840 |
Modular degree for the optimal curve |
Δ |
69388501248 = 28 · 32 · 116 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 -4 11- -6 17+ 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6332,195648] |
[a1,a2,a3,a4,a6] |
j |
61918288/153 |
j-invariant |
L |
2.1994666483467 |
L(r)(E,1)/r! |
Ω |
1.0997333924033 |
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 |
49368n1 816b1 |
Quadratic twists by: -4 -11 |