Atkin-Lehner |
2- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98192i |
Isogeny class |
Conductor |
98192 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
435456 |
Modular degree for the optimal curve |
Δ |
-78984551333888 = -1 · 221 · 172 · 194 |
Discriminant |
Eigenvalues |
2- 3 -2 2 5 0 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,10469,113354] |
[a1,a2,a3,a4,a6] |
j |
237719583/147968 |
j-invariant |
L |
6.043024671044 |
L(r)(E,1)/r! |
Ω |
0.37768905653847 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
4 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
12274k1 98192t1 |
Quadratic twists by: -4 -19 |