Atkin-Lehner |
2+ 3- 17+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
98838n |
Isogeny class |
Conductor |
98838 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
3096576 |
Modular degree for the optimal curve |
Δ |
155935275930960228 = 22 · 36 · 177 · 194 |
Discriminant |
Eigenvalues |
2+ 3- 4 -4 2 -6 17+ 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-626895,-189943367] |
[a1,a2,a3,a4,a6] |
j |
1548415333009/8861828 |
j-invariant |
L |
1.3578146301522 |
L(r)(E,1)/r! |
Ω |
0.16972682850888 |
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 |
10982d1 5814h1 |
Quadratic twists by: -3 17 |