Atkin-Lehner |
2- 3+ 5+ 13+ 19- |
Signs for the Atkin-Lehner involutions |
Class |
96330by |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
82944 |
Modular degree for the optimal curve |
Δ |
13353649920 = 28 · 32 · 5 · 132 · 193 |
Discriminant |
Eigenvalues |
2- 3+ 5+ -1 2 13+ 4 19- |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-621,-2397] |
[a1,a2,a3,a4,a6] |
Generators |
[-11:-52:1] |
Generators of the group modulo torsion |
j |
156731220841/79015680 |
j-invariant |
L |
8.1404690860997 |
L(r)(E,1)/r! |
Ω |
1.0083576672246 |
Real period |
R |
0.16818745146524 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999849328 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
96330q1 |
Quadratic twists by: 13 |