Atkin-Lehner |
2- 3+ 5- 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300n |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
2679103808843616000 = 28 · 39 · 53 · 74 · 116 |
Discriminant |
Eigenvalues |
2- 3+ 5- 7+ 11+ 2 2 -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1788615,917337150] |
[a1,a2,a3,a4,a6] |
Generators |
[-405:39690:1] |
Generators of the group modulo torsion |
j |
1004692238171568/4253517961 |
j-invariant |
L |
6.1454272046383 |
L(r)(E,1)/r! |
Ω |
0.2570666593408 |
Real period |
R |
1.9921639589886 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999985067 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69300q2 69300t2 |
Quadratic twists by: -3 5 |