Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736q |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
276480 |
Modular degree for the optimal curve |
Δ |
-190484446269744 = -1 · 24 · 33 · 1110 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 2 4 11- 2 17- 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,13633,251550] |
[a1,a2,a3,a4,a6] |
Generators |
[45528675788106:2039944611958280:3002811672483] |
Generators of the group modulo torsion |
j |
9885304832/6720219 |
j-invariant |
L |
8.5909428244209 |
L(r)(E,1)/r! |
Ω |
0.35719632162874 |
Real period |
R |
24.051039428587 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000010688 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368bk1 8976e1 |
Quadratic twists by: -4 -11 |