Atkin-Lehner |
2+ 3+ 11+ 61+ |
Signs for the Atkin-Lehner involutions |
Class |
96624b |
Isogeny class |
Conductor |
96624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
9074783849472 = 210 · 39 · 112 · 612 |
Discriminant |
Eigenvalues |
2+ 3+ -4 -2 11+ -2 6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-69147,6997050] |
[a1,a2,a3,a4,a6] |
Generators |
[123:594:1] |
Generators of the group modulo torsion |
j |
1814063523948/450241 |
j-invariant |
L |
2.6607181442311 |
L(r)(E,1)/r! |
Ω |
0.71265559010788 |
Real period |
R |
0.93338149794017 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999075055 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
48312k2 96624e2 |
Quadratic twists by: -4 -3 |