Atkin-Lehner |
2+ 3- 7- 13+ |
Signs for the Atkin-Lehner involutions |
Class |
56784x |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
107520 |
Modular degree for the optimal curve |
Δ |
337336027392 = 28 · 3 · 7 · 137 |
Discriminant |
Eigenvalues |
2+ 3- -2 7- -4 13+ 2 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-15604,-754948] |
[a1,a2,a3,a4,a6] |
Generators |
[12702:264880:27] |
Generators of the group modulo torsion |
j |
340062928/273 |
j-invariant |
L |
6.6648212187974 |
L(r)(E,1)/r! |
Ω |
0.42717829645003 |
Real period |
R |
7.8009829551248 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999999782 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
28392r1 4368f1 |
Quadratic twists by: -4 13 |