Atkin-Lehner |
2+ 3- 11- 17- |
Signs for the Atkin-Lehner involutions |
Class |
98736bj |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
460800 |
Modular degree for the optimal curve |
Δ |
38926949200128 = 28 · 33 · 117 · 172 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 11- -2 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-9236,160092] |
[a1,a2,a3,a4,a6] |
j |
192143824/85833 |
j-invariant |
L |
3.4888135519696 |
L(r)(E,1)/r! |
Ω |
0.58146894310533 |
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 |
49368ba1 8976h1 |
Quadratic twists by: -4 -11 |