Atkin-Lehner |
2- 3+ 11+ 17+ |
Signs for the Atkin-Lehner involutions |
Class |
98736bn |
Isogeny class |
Conductor |
98736 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
deg |
258048 |
Modular degree for the optimal curve |
Δ |
13783027433472 = 214 · 37 · 113 · 172 |
Discriminant |
Eigenvalues |
2- 3+ -2 4 11+ -2 17+ 8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-6024,24048] |
[a1,a2,a3,a4,a6] |
j |
4435194707/2528172 |
j-invariant |
L |
2.4221434279267 |
L(r)(E,1)/r! |
Ω |
0.60553593333313 |
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 |
12342h1 98736bq1 |
Quadratic twists by: -4 -11 |