Atkin-Lehner |
2+ 3+ 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736o |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-491703850637632512 = -1 · 210 · 32 · 1112 · 17 |
Discriminant |
Eigenvalues |
2+ 3+ 0 -4 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-117168,37140336] |
[a1,a2,a3,a4,a6] |
Generators |
[-315:6534:1] |
Generators of the group modulo torsion |
j |
-98061470500/271048833 |
j-invariant |
L |
3.6548988288548 |
L(r)(E,1)/r! |
Ω |
0.25978040341024 |
Real period |
R |
3.5172965311192 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999501614 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49368bi2 8976d2 |
Quadratic twists by: -4 -11 |