Atkin-Lehner |
2- 3- 5- 11+ 17- |
Signs for the Atkin-Lehner involutions |
Class |
56100bc |
Isogeny class |
Conductor |
56100 |
Conductor |
∏ cp |
36 |
Product of Tamagawa factors cp |
deg |
20736 |
Modular degree for the optimal curve |
Δ |
-2423520000 = -1 · 28 · 34 · 54 · 11 · 17 |
Discriminant |
Eigenvalues |
2- 3- 5- 0 11+ 4 17- -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,67,-2337] |
[a1,a2,a3,a4,a6] |
Generators |
[13:30:1] |
Generators of the group modulo torsion |
j |
204800/15147 |
j-invariant |
L |
8.137064250258 |
L(r)(E,1)/r! |
Ω |
0.69086189817641 |
Real period |
R |
0.32717039845707 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000088 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
56100a1 |
Quadratic twists by: 5 |