Atkin-Lehner |
2+ 3- 7- 73- |
Signs for the Atkin-Lehner involutions |
Class |
49056i |
Isogeny class |
Conductor |
49056 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
deg |
58368 |
Modular degree for the optimal curve |
Δ |
121661725248 = 26 · 312 · 72 · 73 |
Discriminant |
Eigenvalues |
2+ 3- 0 7- -6 -4 -6 -8 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-1678,19904] |
[a1,a2,a3,a4,a6] |
Generators |
[8:84:1] [-22:216:1] |
Generators of the group modulo torsion |
j |
8169178744000/1900964457 |
j-invariant |
L |
10.862054503465 |
L(r)(E,1)/r! |
Ω |
0.9848595423729 |
Real period |
R |
0.9190866003505 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999985 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49056b1 98112bq1 |
Quadratic twists by: -4 8 |