Atkin-Lehner |
2+ 3- 11- 31- |
Signs for the Atkin-Lehner involutions |
Class |
98208n |
Isogeny class |
Conductor |
98208 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
155648 |
Modular degree for the optimal curve |
Δ |
439441713216 = 26 · 310 · 112 · 312 |
Discriminant |
Eigenvalues |
2+ 3- 2 4 11- 6 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-2289,-27560] |
[a1,a2,a3,a4,a6] |
j |
28428476608/9418761 |
j-invariant |
L |
5.6684671653586 |
L(r)(E,1)/r! |
Ω |
0.70855842443593 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
4 |
Number of elements in the torsion subgroup |
Twists |
98208f1 32736l1 |
Quadratic twists by: -4 -3 |