Atkin-Lehner |
2+ 3+ 7+ 73+ |
Signs for the Atkin-Lehner involutions |
Class |
98112a |
Isogeny class |
Conductor |
98112 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
5203968 |
Modular degree for the optimal curve |
Δ |
-1.6518512643447E+20 |
Discriminant |
Eigenvalues |
2+ 3+ 0 7+ -6 -2 0 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-11448253,14925923821] |
[a1,a2,a3,a4,a6] |
Generators |
[670971:1229584:343] |
Generators of the group modulo torsion |
j |
-162047169290647208704000/161313600033660123 |
j-invariant |
L |
3.5405564690174 |
L(r)(E,1)/r! |
Ω |
0.180526830296 |
Real period |
R |
9.8061780362198 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999791657 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
98112ca1 12264a1 |
Quadratic twists by: -4 8 |