Atkin-Lehner |
2+ 3- 7- 19- 41- |
Signs for the Atkin-Lehner involutions |
Class |
98154bm |
Isogeny class |
Conductor |
98154 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
deg |
4505600 |
Modular degree for the optimal curve |
Δ |
1.0140859398352E+19 |
Discriminant |
Eigenvalues |
2+ 3- 4 7- 0 6 -4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-823950,243919188] |
[a1,a2,a3,a4,a6] |
Generators |
[3759:222288:1] |
Generators of the group modulo torsion |
j |
84859223708651263201/13910643893486592 |
j-invariant |
L |
8.0561413632398 |
L(r)(E,1)/r! |
Ω |
0.21876541907565 |
Real period |
R |
2.3015924507214 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999638353 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32718x1 |
Quadratic twists by: -3 |