Atkin-Lehner |
2- 3+ 7+ 37+ |
Signs for the Atkin-Lehner involutions |
Class |
49728cy |
Isogeny class |
Conductor |
49728 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
7168 |
Modular degree for the optimal curve |
Δ |
-1839936 = -1 · 26 · 3 · 7 · 372 |
Discriminant |
Eigenvalues |
2- 3+ -2 7+ -4 4 2 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,16,-66] |
[a1,a2,a3,a4,a6] |
Generators |
[151:1850:1] [42:93:8] |
Generators of the group modulo torsion |
j |
6644672/28749 |
j-invariant |
L |
7.1600985611903 |
L(r)(E,1)/r! |
Ω |
1.3342833021835 |
Real period |
R |
10.732501185429 |
Regulator |
r |
2 |
Rank of the group of rational points |
S |
0.99999999999983 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
49728es1 24864l2 |
Quadratic twists by: -4 8 |