Atkin-Lehner |
2- 3+ 5+ 7+ 11+ |
Signs for the Atkin-Lehner involutions |
Class |
69300a |
Isogeny class |
Conductor |
69300 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
1604631971250000 = 24 · 39 · 57 · 72 · 113 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 7+ 11+ -2 -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1495800,-704136375] |
[a1,a2,a3,a4,a6] |
j |
75216478666752/326095 |
j-invariant |
L |
0.81909170717811 |
L(r)(E,1)/r! |
Ω |
0.13651528667743 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
69300e1 13860f3 |
Quadratic twists by: -3 5 |