Atkin-Lehner |
3+ 7- 11- 61- |
Signs for the Atkin-Lehner involutions |
Class |
98637k |
Isogeny class |
Conductor |
98637 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
Δ |
23359947903369 = 32 · 78 · 112 · 612 |
Discriminant |
Eigenvalues |
-1 3+ -2 7- 11- 6 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-32929,-2301874] |
[a1,a2,a3,a4,a6] |
j |
33563861678593/198556281 |
j-invariant |
L |
0.70907041100416 |
L(r)(E,1)/r! |
Ω |
0.35453538102934 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
14091b2 |
Quadratic twists by: -7 |