Atkin-Lehner |
3- 5+ 19- 23- |
Signs for the Atkin-Lehner involutions |
Class |
98325bp |
Isogeny class |
Conductor |
98325 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
483840 |
Modular degree for the optimal curve |
Δ |
-8887066716796875 = -1 · 39 · 59 · 19 · 233 |
Discriminant |
Eigenvalues |
0 3- 5+ 1 -3 -2 -6 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,1,-81300,-10009094] |
[a1,a2,a3,a4,a6] |
Generators |
[334:310:1] [610:-12938:1] |
Generators of the group modulo torsion |
j |
-5217323843584/780208875 |
j-invariant |
L |
9.5676932788958 |
L(r)(E,1)/r! |
Ω |
0.14020841140057 |
Real period |
R |
1.4216475410757 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
1.000000000023 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
32775e1 19665w1 |
Quadratic twists by: -3 5 |