Atkin-Lehner |
2+ 3- 5+ 7+ 31- |
Signs for the Atkin-Lehner involutions |
Class |
97650bh |
Isogeny class |
Conductor |
97650 |
Conductor |
∏ cp |
48 |
Product of Tamagawa factors cp |
Δ |
87565520448000000 = 212 · 38 · 56 · 7 · 313 |
Discriminant |
Eigenvalues |
2+ 3- 5+ 7+ -6 -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,-1,0,-963117,363765541] |
[a1,a2,a3,a4,a6] |
Generators |
[479:3248:1] |
Generators of the group modulo torsion |
j |
8673882953919625/7687507968 |
j-invariant |
L |
3.3126130484266 |
L(r)(E,1)/r! |
Ω |
0.33802418050318 |
Real period |
R |
0.81666076831665 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000014836 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
32550bu3 3906u3 |
Quadratic twists by: -3 5 |