Atkin-Lehner |
2- 3+ 5- 13+ 19+ |
Signs for the Atkin-Lehner involutions |
Class |
96330cj |
Isogeny class |
Conductor |
96330 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
362880 |
Modular degree for the optimal curve |
Δ |
-128759956884000 = -1 · 25 · 33 · 53 · 137 · 19 |
Discriminant |
Eigenvalues |
2- 3+ 5- 0 3 13+ 1 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-16650,-997833] |
[a1,a2,a3,a4,a6] |
Generators |
[317:4911:1] |
Generators of the group modulo torsion |
j |
-105756712489/26676000 |
j-invariant |
L |
10.79286864727 |
L(r)(E,1)/r! |
Ω |
0.20739366810182 |
Real period |
R |
0.86734154434749 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999856487 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7410b1 |
Quadratic twists by: 13 |