Atkin-Lehner |
2- 3- 5+ 7- 89- |
Signs for the Atkin-Lehner involutions |
Class |
56070y |
Isogeny class |
Conductor |
56070 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
-138643560090 = -1 · 2 · 36 · 5 · 74 · 892 |
Discriminant |
Eigenvalues |
2- 3- 5+ 7- 4 -2 2 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,1,-338,-17989] |
[a1,a2,a3,a4,a6] |
Generators |
[446:2703:8] |
Generators of the group modulo torsion |
j |
-5841725401/190183210 |
j-invariant |
L |
10.256921299921 |
L(r)(E,1)/r! |
Ω |
0.450749150377 |
Real period |
R |
5.6888189868309 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000069 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
6230e2 |
Quadratic twists by: -3 |