Atkin-Lehner |
2- 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736ch |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
128 |
Product of Tamagawa factors cp |
Δ |
-1319986896076873728 = -1 · 213 · 32 · 118 · 174 |
Discriminant |
Eigenvalues |
2- 3+ 0 2 11- -4 17- -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-364008,101121264] |
[a1,a2,a3,a4,a6] |
Generators |
[-564:11256:1] [-150:12342:1] |
Generators of the group modulo torsion |
j |
-735091890625/181908738 |
j-invariant |
L |
10.288893649336 |
L(r)(E,1)/r! |
Ω |
0.25848172658753 |
Real period |
R |
1.2439096983878 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999994871 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
12342o2 8976l2 |
Quadratic twists by: -4 -11 |