Atkin-Lehner |
2- 3- 19+ 83+ |
Signs for the Atkin-Lehner involutions |
Class |
56772d |
Isogeny class |
Conductor |
56772 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
15120 |
Modular degree for the optimal curve |
Δ |
-349488432 = -1 · 24 · 36 · 192 · 83 |
Discriminant |
Eigenvalues |
2- 3- 2 1 -3 4 3 19+ |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-84,-947] |
[a1,a2,a3,a4,a6] |
Generators |
[6153:19760:343] |
Generators of the group modulo torsion |
j |
-5619712/29963 |
j-invariant |
L |
8.0053038383793 |
L(r)(E,1)/r! |
Ω |
0.70958347216824 |
Real period |
R |
5.6408471676243 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000041 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
6308b1 |
Quadratic twists by: -3 |