Atkin-Lehner |
2- 3+ 7+ 13- |
Signs for the Atkin-Lehner involutions |
Class |
56784bs |
Isogeny class |
Conductor |
56784 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
Δ |
-1.5224791412207E+19 |
Discriminant |
Eigenvalues |
2- 3+ 3 7+ 5 13- -3 -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,388696,162788976] |
[a1,a2,a3,a4,a6] |
Generators |
[297540:162299904:1] |
Generators of the group modulo torsion |
j |
721710134999099/1691848015872 |
j-invariant |
L |
6.9106735853949 |
L(r)(E,1)/r! |
Ω |
0.1541561448794 |
Real period |
R |
5.6036312976467 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000042 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
7098p2 56784ci2 |
Quadratic twists by: -4 13 |