Atkin-Lehner |
2- 3+ 5+ 11+ 59- |
Signs for the Atkin-Lehner involutions |
Class |
97350bq |
Isogeny class |
Conductor |
97350 |
Conductor |
∏ cp |
24 |
Product of Tamagawa factors cp |
Δ |
3489267375000 = 23 · 36 · 56 · 11 · 592 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 0 11+ -2 8 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,-12563,-539719] |
[a1,a2,a3,a4,a6] |
Generators |
[-59:50:1] |
Generators of the group modulo torsion |
j |
14034143923561/223313112 |
j-invariant |
L |
9.251905459838 |
L(r)(E,1)/r! |
Ω |
0.45138269835699 |
Real period |
R |
3.4161350246639 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999865221 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
3894e2 |
Quadratic twists by: 5 |