Atkin-Lehner |
2- 3+ 17+ 89- |
Signs for the Atkin-Lehner involutions |
Class |
72624m |
Isogeny class |
Conductor |
72624 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
1518982668288 = 213 · 34 · 172 · 892 |
Discriminant |
Eigenvalues |
2- 3+ 0 0 -6 -4 17+ -2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-14328,662256] |
[a1,a2,a3,a4,a6] |
Generators |
[90:-306:1] |
Generators of the group modulo torsion |
j |
79423824021625/370845378 |
j-invariant |
L |
3.2582726182147 |
L(r)(E,1)/r! |
Ω |
0.85246027517834 |
Real period |
R |
0.95554969340869 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999995571 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
9078b2 |
Quadratic twists by: -4 |