Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784u |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
96 |
Product of Tamagawa factors cp |
deg |
774144 |
Modular degree for the optimal curve |
Δ |
-2031490919297457072 = -1 · 24 · 33 · 78 · 138 |
Discriminant |
Eigenvalues |
2+ 3- 2 7- -4 13+ -6 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,121793,66635492] |
[a1,a2,a3,a4,a6] |
Generators |
[9002:322959:8] |
Generators of the group modulo torsion |
j |
2587063175168/26304786963 |
j-invariant |
L |
8.7640148335914 |
L(r)(E,1)/r! |
Ω |
0.19243556040774 |
Real period |
R |
1.8976081341599 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000044 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392b1 4368k1 |
Quadratic twists by: -4 13 |