Atkin-Lehner |
2+ 3- 23- 89- |
Signs for the Atkin-Lehner involutions |
Class |
98256h |
Isogeny class |
Conductor |
98256 |
Conductor |
∏ cp |
30 |
Product of Tamagawa factors cp |
deg |
264960 |
Modular degree for the optimal curve |
Δ |
-6681541922928 = -1 · 24 · 36 · 235 · 89 |
Discriminant |
Eigenvalues |
2+ 3- -2 1 -6 -4 4 1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-22004,1255155] |
[a1,a2,a3,a4,a6] |
Generators |
[97:-207:1] [145:1065:1] |
Generators of the group modulo torsion |
j |
-73642474870834432/417596370183 |
j-invariant |
L |
12.007013264087 |
L(r)(E,1)/r! |
Ω |
0.75365267111565 |
Real period |
R |
0.531058657118 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.0000000000337 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
49128a1 |
Quadratic twists by: -4 |