Atkin-Lehner |
2- 3+ 7- 83+ |
Signs for the Atkin-Lehner involutions |
Class |
48804j |
Isogeny class |
Conductor |
48804 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
deg |
165888 |
Modular degree for the optimal curve |
Δ |
-165431064626352 = -1 · 24 · 32 · 712 · 83 |
Discriminant |
Eigenvalues |
2- 3+ 4 7- 0 0 -2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,6599,581218] |
[a1,a2,a3,a4,a6] |
Generators |
[117:1715:1] |
Generators of the group modulo torsion |
j |
16880451584/87883803 |
j-invariant |
L |
7.1351646983556 |
L(r)(E,1)/r! |
Ω |
0.4131449115726 |
Real period |
R |
2.8783946820494 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000052 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6972f1 |
Quadratic twists by: -7 |